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Finding the Fourth Proportional to 655,350.13, 904,200.42 and 422,678.61

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Solution

The fourth proportional to 655,350.13, 904,200.42 and 422,678.61 is: 583,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,350.13 : 904,200.42 = 422,678.61 : x
  2. Step 2: Convert to fraction form
    655,350.13/904,200.42 = 422,678.61/x
  3. Step 3: Cross multiply
    655,350.13x = 904,200.42 × 422,678.61
  4. Step 4: Simplify right side
    655,350.13x = 382,186,176,834.12
  5. Step 5: Solve for x
    x = 382,186,176,834.12/655,350.13
  6. Step 6: Final answer
    x = 583,178.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.