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Finding the Fourth Proportional to 709,654,934.40, 1,064,482,401.60 and 402,828,489.60

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Solution

The fourth proportional to 709,654,934.40, 1,064,482,401.60 and 402,828,489.60 is: 604,242,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,654,934.40 : 1,064,482,401.60 = 402,828,489.60 : x
  2. Step 2: Convert to fraction form
    709,654,934.40/1,064,482,401.60 = 402,828,489.60/x
  3. Step 3: Cross multiply
    709,654,934.40x = 1,064,482,401.60 × 402,828,489.60
  4. Step 4: Simplify right side
    709,654,934.40x = 428,803,838,042,308,672
  5. Step 5: Solve for x
    x = 428,803,838,042,308,672/709,654,934.40
  6. Step 6: Final answer
    x = 604,242,734.40

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1.5x scale

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.