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Finding the Fourth Proportional to 645,894,891.60, 968,842,337.40 and 569,367,387.60

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Solution

The fourth proportional to 645,894,891.60, 968,842,337.40 and 569,367,387.60 is: 854,051,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,894,891.60 : 968,842,337.40 = 569,367,387.60 : x
  2. Step 2: Convert to fraction form
    645,894,891.60/968,842,337.40 = 569,367,387.60/x
  3. Step 3: Cross multiply
    645,894,891.60x = 968,842,337.40 × 569,367,387.60
  4. Step 4: Simplify right side
    645,894,891.60x = 551,627,230,641,715,776
  5. Step 5: Solve for x
    x = 551,627,230,641,715,776/645,894,891.60
  6. Step 6: Final answer
    x = 854,051,081.40

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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.