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Finding the Fourth Proportional to 402,695.60, 604,043.40 and 165,916.40

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Solution

The fourth proportional to 402,695.60, 604,043.40 and 165,916.40 is: 248,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,695.60 : 604,043.40 = 165,916.40 : x
  2. Step 2: Convert to fraction form
    402,695.60/604,043.40 = 165,916.40/x
  3. Step 3: Cross multiply
    402,695.60x = 604,043.40 × 165,916.40
  4. Step 4: Simplify right side
    402,695.60x = 100,220,706,371.76
  5. Step 5: Solve for x
    x = 100,220,706,371.76/402,695.60
  6. Step 6: Final answer
    x = 248,874.60

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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.