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Finding the Fourth Proportional to 459,164.60, 688,746.90 and 299,732.30

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Solution

The fourth proportional to 459,164.60, 688,746.90 and 299,732.30 is: 449,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,164.60 : 688,746.90 = 299,732.30 : x
  2. Step 2: Convert to fraction form
    459,164.60/688,746.90 = 299,732.30/x
  3. Step 3: Cross multiply
    459,164.60x = 688,746.90 × 299,732.30
  4. Step 4: Simplify right side
    459,164.60x = 206,439,692,454.87
  5. Step 5: Solve for x
    x = 206,439,692,454.87/459,164.60
  6. Step 6: Final answer
    x = 449,598.45

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Similar ratio
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1.5x scale

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.