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Finding the Fourth Proportional to 657,146.52, 906,868.71 and 385,375.32

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Solution

The fourth proportional to 657,146.52, 906,868.71 and 385,375.32 is: 531,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,146.52 : 906,868.71 = 385,375.32 : x
  2. Step 2: Convert to fraction form
    657,146.52/906,868.71 = 385,375.32/x
  3. Step 3: Cross multiply
    657,146.52x = 906,868.71 × 385,375.32
  4. Step 4: Simplify right side
    657,146.52x = 349,484,819,314.24
  5. Step 5: Solve for x
    x = 349,484,819,314.24/657,146.52
  6. Step 6: Final answer
    x = 531,821.76

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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.