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Finding the Fourth Proportional to 386,410.61, 532,630.50 and 304,605.47

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Solution

The fourth proportional to 386,410.61, 532,630.50 and 304,605.47 is: 419,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,410.61 : 532,630.50 = 304,605.47 : x
  2. Step 2: Convert to fraction form
    386,410.61/532,630.50 = 304,605.47/x
  3. Step 3: Cross multiply
    386,410.61x = 532,630.50 × 304,605.47
  4. Step 4: Simplify right side
    386,410.61x = 162,242,163,788.84
  5. Step 5: Solve for x
    x = 162,242,163,788.84/386,410.61
  6. Step 6: Final answer
    x = 419,869.85

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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.