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Finding the Fourth Proportional to 287,573.60, 431,036.40 and 137,885.60

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Solution

The fourth proportional to 287,573.60, 431,036.40 and 137,885.60 is: 206,673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,573.60 : 431,036.40 = 137,885.60 : x
  2. Step 2: Convert to fraction form
    287,573.60/431,036.40 = 137,885.60/x
  3. Step 3: Cross multiply
    287,573.60x = 431,036.40 × 137,885.60
  4. Step 4: Simplify right side
    287,573.60x = 59,433,712,635.84
  5. Step 5: Solve for x
    x = 59,433,712,635.84/287,573.60
  6. Step 6: Final answer
    x = 206,673.05

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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.