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Finding the Fourth Proportional to 523,710,805.20, 784,677,243.55 and 316,012,812.14

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Solution

The fourth proportional to 523,710,805.20, 784,677,243.55 and 316,012,812.14 is: 473,482,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,710,805.20 : 784,677,243.55 = 316,012,812.14 : x
  2. Step 2: Convert to fraction form
    523,710,805.20/784,677,243.55 = 316,012,812.14/x
  3. Step 3: Cross multiply
    523,710,805.20x = 784,677,243.55 × 316,012,812.14
  4. Step 4: Simplify right side
    523,710,805.20x = 247,968,062,359,156,064
  5. Step 5: Solve for x
    x = 247,968,062,359,156,064/523,710,805.20
  6. Step 6: Final answer
    x = 473,482,807.49

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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.