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Finding the Fourth Proportional to 459,714.40, 688,016.40 and 403,727.20

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Solution

The fourth proportional to 459,714.40, 688,016.40 and 403,727.20 is: 604,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,714.40 : 688,016.40 = 403,727.20 : x
  2. Step 2: Convert to fraction form
    459,714.40/688,016.40 = 403,727.20/x
  3. Step 3: Cross multiply
    459,714.40x = 688,016.40 × 403,727.20
  4. Step 4: Simplify right side
    459,714.40x = 277,770,934,726.08
  5. Step 5: Solve for x
    x = 277,770,934,726.08/459,714.40
  6. Step 6: Final answer
    x = 604,225.00

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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.