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Finding the Fourth Proportional to 713,836.52, 1,069,327.20 and 429,370

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Solution

The fourth proportional to 713,836.52, 1,069,327.20 and 429,370 is: 643,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,836.52 : 1,069,327.20 = 429,370 : x
  2. Step 2: Convert to fraction form
    713,836.52/1,069,327.20 = 429,370/x
  3. Step 3: Cross multiply
    713,836.52x = 1,069,327.20 × 429,370
  4. Step 4: Simplify right side
    713,836.52x = 459,137,019,864
  5. Step 5: Solve for x
    x = 459,137,019,864/713,836.52
  6. Step 6: Final answer
    x = 643,196.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.