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Finding the Fourth Proportional to 502,859.79, 749,552.58 and 462,503.50

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Solution

The fourth proportional to 502,859.79, 749,552.58 and 462,503.50 is: 689,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,859.79 : 749,552.58 = 462,503.50 : x
  2. Step 2: Convert to fraction form
    502,859.79/749,552.58 = 462,503.50/x
  3. Step 3: Cross multiply
    502,859.79x = 749,552.58 × 462,503.50
  4. Step 4: Simplify right side
    502,859.79x = 346,670,689,810.15
  5. Step 5: Solve for x
    x = 346,670,689,810.15/502,859.79
  6. Step 6: Final answer
    x = 689,398.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.