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Finding the Fourth Proportional to 1,065,709,945.50, 1,470,605,065.80 and 619,641,662.34

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Solution

The fourth proportional to 1,065,709,945.50, 1,470,605,065.80 and 619,641,662.34 is: 855,062,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,709,945.50 : 1,470,605,065.80 = 619,641,662.34 : x
  2. Step 2: Convert to fraction form
    1,065,709,945.50/1,470,605,065.80 = 619,641,662.34/x
  3. Step 3: Cross multiply
    1,065,709,945.50x = 1,470,605,065.80 × 619,641,662.34
  4. Step 4: Simplify right side
    1,065,709,945.50x = 911,248,167,617,937,152
  5. Step 5: Solve for x
    x = 911,248,167,617,937,152/1,065,709,945.50
  6. Step 6: Final answer
    x = 855,062,084.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.