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Finding the Fourth Proportional to 457,811.90, 687,495.45 and 339,616.70

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Solution

The fourth proportional to 457,811.90, 687,495.45 and 339,616.70 is: 510,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,811.90 : 687,495.45 = 339,616.70 : x
  2. Step 2: Convert to fraction form
    457,811.90/687,495.45 = 339,616.70/x
  3. Step 3: Cross multiply
    457,811.90x = 687,495.45 × 339,616.70
  4. Step 4: Simplify right side
    457,811.90x = 233,484,935,994.02
  5. Step 5: Solve for x
    x = 233,484,935,994.02/457,811.90
  6. Step 6: Final answer
    x = 510,001.89

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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.