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Finding the Fourth Proportional to 487,726.30, 731,480.10 and 320,420.80

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Solution

The fourth proportional to 487,726.30, 731,480.10 and 320,420.80 is: 480,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,726.30 : 731,480.10 = 320,420.80 : x
  2. Step 2: Convert to fraction form
    487,726.30/731,480.10 = 320,420.80/x
  3. Step 3: Cross multiply
    487,726.30x = 731,480.10 × 320,420.80
  4. Step 4: Simplify right side
    487,726.30x = 234,381,438,826.08
  5. Step 5: Solve for x
    x = 234,381,438,826.08/487,726.30
  6. Step 6: Final answer
    x = 480,559.36

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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.