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Finding the Fourth Proportional to 502,192.81, 753,327.71 and 142,357.64

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Solution

The fourth proportional to 502,192.81, 753,327.71 and 142,357.64 is: 213,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,192.81 : 753,327.71 = 142,357.64 : x
  2. Step 2: Convert to fraction form
    502,192.81/753,327.71 = 142,357.64/x
  3. Step 3: Cross multiply
    502,192.81x = 753,327.71 × 142,357.64
  4. Step 4: Simplify right side
    502,192.81x = 107,241,950,997.62
  5. Step 5: Solve for x
    x = 107,241,950,997.62/502,192.81
  6. Step 6: Final answer
    x = 213,547.36

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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.