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Finding the Fourth Proportional to 522,666,445.48, 784,117,781.18 and 172,911,693.16

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Solution

The fourth proportional to 522,666,445.48, 784,117,781.18 and 172,911,693.16 is: 259,406,614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,666,445.48 : 784,117,781.18 = 172,911,693.16 : x
  2. Step 2: Convert to fraction form
    522,666,445.48/784,117,781.18 = 172,911,693.16/x
  3. Step 3: Cross multiply
    522,666,445.48x = 784,117,781.18 × 172,911,693.16
  4. Step 4: Simplify right side
    522,666,445.48x = 135,583,133,180,696,176
  5. Step 5: Solve for x
    x = 135,583,133,180,696,176/522,666,445.48
  6. Step 6: Final answer
    x = 259,406,614.59

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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.