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Finding the Fourth Proportional to 459,114.90, 688,672.35 and 407,939.10

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Solution

The fourth proportional to 459,114.90, 688,672.35 and 407,939.10 is: 611,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,114.90 : 688,672.35 = 407,939.10 : x
  2. Step 2: Convert to fraction form
    459,114.90/688,672.35 = 407,939.10/x
  3. Step 3: Cross multiply
    459,114.90x = 688,672.35 × 407,939.10
  4. Step 4: Simplify right side
    459,114.90x = 280,936,378,653.89
  5. Step 5: Solve for x
    x = 280,936,378,653.89/459,114.90
  6. Step 6: Final answer
    x = 611,908.65

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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.