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Finding the Fourth Proportional to 502,657.05, 693,435.54 and 445,354.83

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Solution

The fourth proportional to 502,657.05, 693,435.54 and 445,354.83 is: 614,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,657.05 : 693,435.54 = 445,354.83 : x
  2. Step 2: Convert to fraction form
    502,657.05/693,435.54 = 445,354.83/x
  3. Step 3: Cross multiply
    502,657.05x = 693,435.54 × 445,354.83
  4. Step 4: Simplify right side
    502,657.05x = 308,824,867,032.66
  5. Step 5: Solve for x
    x = 308,824,867,032.66/502,657.05
  6. Step 6: Final answer
    x = 614,384.83

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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.