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Finding the Fourth Proportional to 774,661.70, 1,069,004.61 and 430,519.10

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Solution

The fourth proportional to 774,661.70, 1,069,004.61 and 430,519.10 is: 594,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,661.70 : 1,069,004.61 = 430,519.10 : x
  2. Step 2: Convert to fraction form
    774,661.70/1,069,004.61 = 430,519.10/x
  3. Step 3: Cross multiply
    774,661.70x = 1,069,004.61 × 430,519.10
  4. Step 4: Simplify right side
    774,661.70x = 460,226,902,593.05
  5. Step 5: Solve for x
    x = 460,226,902,593.05/774,661.70
  6. Step 6: Final answer
    x = 594,100.50

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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.