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Finding the Fourth Proportional to 355,153.64, 532,862.81 and 213,100.87

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Solution

The fourth proportional to 355,153.64, 532,862.81 and 213,100.87 is: 319,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,153.64 : 532,862.81 = 213,100.87 : x
  2. Step 2: Convert to fraction form
    355,153.64/532,862.81 = 213,100.87/x
  3. Step 3: Cross multiply
    355,153.64x = 532,862.81 × 213,100.87
  4. Step 4: Simplify right side
    355,153.64x = 113,553,527,868.89
  5. Step 5: Solve for x
    x = 113,553,527,868.89/355,153.64
  6. Step 6: Final answer
    x = 319,730.72

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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.