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Finding the Fourth Proportional to 687,234.97, 945,021.22 and 596,433.30

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Solution

The fourth proportional to 687,234.97, 945,021.22 and 596,433.30 is: 820,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,234.97 : 945,021.22 = 596,433.30 : x
  2. Step 2: Convert to fraction form
    687,234.97/945,021.22 = 596,433.30/x
  3. Step 3: Cross multiply
    687,234.97x = 945,021.22 × 596,433.30
  4. Step 4: Simplify right side
    687,234.97x = 563,642,119,779.71
  5. Step 5: Solve for x
    x = 563,642,119,779.71/687,234.97
  6. Step 6: Final answer
    x = 820,159.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.