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Finding the Fourth Proportional to 459,189.12, 688,649.76 and 178,639.68

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Solution

The fourth proportional to 459,189.12, 688,649.76 and 178,639.68 is: 267,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,189.12 : 688,649.76 = 178,639.68 : x
  2. Step 2: Convert to fraction form
    459,189.12/688,649.76 = 178,639.68/x
  3. Step 3: Cross multiply
    459,189.12x = 688,649.76 × 178,639.68
  4. Step 4: Simplify right side
    459,189.12x = 123,020,172,758.48
  5. Step 5: Solve for x
    x = 123,020,172,758.48/459,189.12
  6. Step 6: Final answer
    x = 267,907.42

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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.