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Finding the Fourth Proportional to 458,032.80, 686,721.15 and 191,656.20

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Solution

The fourth proportional to 458,032.80, 686,721.15 and 191,656.20 is: 287,347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,032.80 : 686,721.15 = 191,656.20 : x
  2. Step 2: Convert to fraction form
    458,032.80/686,721.15 = 191,656.20/x
  3. Step 3: Cross multiply
    458,032.80x = 686,721.15 × 191,656.20
  4. Step 4: Simplify right side
    458,032.80x = 131,614,366,068.63
  5. Step 5: Solve for x
    x = 131,614,366,068.63/458,032.80
  6. Step 6: Final answer
    x = 287,347.03

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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.