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Finding the Fourth Proportional to 655,953.12, 904,948.20 and 414,231.84

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Solution

The fourth proportional to 655,953.12, 904,948.20 and 414,231.84 is: 571,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,953.12 : 904,948.20 = 414,231.84 : x
  2. Step 2: Convert to fraction form
    655,953.12/904,948.20 = 414,231.84/x
  3. Step 3: Cross multiply
    655,953.12x = 904,948.20 × 414,231.84
  4. Step 4: Simplify right side
    655,953.12x = 374,858,357,990.69
  5. Step 5: Solve for x
    x = 374,858,357,990.69/655,953.12
  6. Step 6: Final answer
    x = 571,471.26

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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.