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Finding the Fourth Proportional to 402,390.52, 602,995 and 202,436.08

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Solution

The fourth proportional to 402,390.52, 602,995 and 202,436.08 is: 303,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,390.52 : 602,995 = 202,436.08 : x
  2. Step 2: Convert to fraction form
    402,390.52/602,995 = 202,436.08/x
  3. Step 3: Cross multiply
    402,390.52x = 602,995 × 202,436.08
  4. Step 4: Simplify right side
    402,390.52x = 122,067,944,059.60
  5. Step 5: Solve for x
    x = 122,067,944,059.60/402,390.52
  6. Step 6: Final answer
    x = 303,356.91

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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.