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Finding the Fourth Proportional to 459,709.40, 688,008.90 and 403,722.20

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Solution

The fourth proportional to 459,709.40, 688,008.90 and 403,722.20 is: 604,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,709.40 : 688,008.90 = 403,722.20 : x
  2. Step 2: Convert to fraction form
    459,709.40/688,008.90 = 403,722.20/x
  3. Step 3: Cross multiply
    459,709.40x = 688,008.90 × 403,722.20
  4. Step 4: Simplify right side
    459,709.40x = 277,764,466,727.58
  5. Step 5: Solve for x
    x = 277,764,466,727.58/459,709.40
  6. Step 6: Final answer
    x = 604,217.51

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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.