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Finding the Fourth Proportional to 402,787.60, 604,648.20 and 216,163.60

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Solution

The fourth proportional to 402,787.60, 604,648.20 and 216,163.60 is: 324,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,787.60 : 604,648.20 = 216,163.60 : x
  2. Step 2: Convert to fraction form
    402,787.60/604,648.20 = 216,163.60/x
  3. Step 3: Cross multiply
    402,787.60x = 604,648.20 × 216,163.60
  4. Step 4: Simplify right side
    402,787.60x = 130,702,931,645.52
  5. Step 5: Solve for x
    x = 130,702,931,645.52/402,787.60
  6. Step 6: Final answer
    x = 324,495.92

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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.