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Finding the Fourth Proportional to 459,877.40, 689,816.10 and 418,543.10

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Solution

The fourth proportional to 459,877.40, 689,816.10 and 418,543.10 is: 627,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,877.40 : 689,816.10 = 418,543.10 : x
  2. Step 2: Convert to fraction form
    459,877.40/689,816.10 = 418,543.10/x
  3. Step 3: Cross multiply
    459,877.40x = 689,816.10 × 418,543.10
  4. Step 4: Simplify right side
    459,877.40x = 288,717,768,923.91
  5. Step 5: Solve for x
    x = 288,717,768,923.91/459,877.40
  6. Step 6: Final answer
    x = 627,814.65

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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.