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Finding the Fourth Proportional to 287,562.88, 430,688.22 and 253,927

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Solution

The fourth proportional to 287,562.88, 430,688.22 and 253,927 is: 380,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,562.88 : 430,688.22 = 253,927 : x
  2. Step 2: Convert to fraction form
    287,562.88/430,688.22 = 253,927/x
  3. Step 3: Cross multiply
    287,562.88x = 430,688.22 × 253,927
  4. Step 4: Simplify right side
    287,562.88x = 109,363,367,639.94
  5. Step 5: Solve for x
    x = 109,363,367,639.94/287,562.88
  6. Step 6: Final answer
    x = 380,311.14

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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.