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Finding the Fourth Proportional to 401,531.60, 602,201.40 and 232,686.80

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Solution

The fourth proportional to 401,531.60, 602,201.40 and 232,686.80 is: 348,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,531.60 : 602,201.40 = 232,686.80 : x
  2. Step 2: Convert to fraction form
    401,531.60/602,201.40 = 232,686.80/x
  3. Step 3: Cross multiply
    401,531.60x = 602,201.40 × 232,686.80
  4. Step 4: Simplify right side
    401,531.60x = 140,124,316,721.52
  5. Step 5: Solve for x
    x = 140,124,316,721.52/401,531.60
  6. Step 6: Final answer
    x = 348,974.57

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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.