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Finding the Fourth Proportional to 657,412.52, 907,162.82 and 381,674.92

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Solution

The fourth proportional to 657,412.52, 907,162.82 and 381,674.92 is: 526,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,412.52 : 907,162.82 = 381,674.92 : x
  2. Step 2: Convert to fraction form
    657,412.52/907,162.82 = 381,674.92/x
  3. Step 3: Cross multiply
    657,412.52x = 907,162.82 × 381,674.92
  4. Step 4: Simplify right side
    657,412.52x = 346,241,296,750.47
  5. Step 5: Solve for x
    x = 346,241,296,750.47/657,412.52
  6. Step 6: Final answer
    x = 526,672.81

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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.