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Finding the Fourth Proportional to 287,417.97, 431,179.20 and 97,869.26

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Solution

The fourth proportional to 287,417.97, 431,179.20 and 97,869.26 is: 146,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,417.97 : 431,179.20 = 97,869.26 : x
  2. Step 2: Convert to fraction form
    287,417.97/431,179.20 = 97,869.26/x
  3. Step 3: Cross multiply
    287,417.97x = 431,179.20 × 97,869.26
  4. Step 4: Simplify right side
    287,417.97x = 42,199,190,309.34
  5. Step 5: Solve for x
    x = 42,199,190,309.34/287,417.97
  6. Step 6: Final answer
    x = 146,821.68

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1.5x scale

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.