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Finding the Fourth Proportional to 1,650,783.40, 2,315,295.80 and 1,650,783.40

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Solution

The fourth proportional to 1,650,783.40, 2,315,295.80 and 1,650,783.40 is: 2,315,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,783.40 : 2,315,295.80 = 1,650,783.40 : x
  2. Step 2: Convert to fraction form
    1,650,783.40/2,315,295.80 = 1,650,783.40/x
  3. Step 3: Cross multiply
    1,650,783.40x = 2,315,295.80 × 1,650,783.40
  4. Step 4: Simplify right side
    1,650,783.40x = 3,822,051,872,729.72
  5. Step 5: Solve for x
    x = 3,822,051,872,729.72/1,650,783.40
  6. Step 6: Final answer
    x = 2,315,295.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.