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Finding the Fourth Proportional to 472,402.60, 708,690.30 and 191,948.20

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Solution

The fourth proportional to 472,402.60, 708,690.30 and 191,948.20 is: 287,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,402.60 : 708,690.30 = 191,948.20 : x
  2. Step 2: Convert to fraction form
    472,402.60/708,690.30 = 191,948.20/x
  3. Step 3: Cross multiply
    472,402.60x = 708,690.30 × 191,948.20
  4. Step 4: Simplify right side
    472,402.60x = 136,031,827,442.46
  5. Step 5: Solve for x
    x = 136,031,827,442.46/472,402.60
  6. Step 6: Final answer
    x = 287,957.41

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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.