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Finding the Fourth Proportional to 287,309.70, 431,230.10 and 145,254.87

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Solution

The fourth proportional to 287,309.70, 431,230.10 and 145,254.87 is: 218,016.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,309.70 : 431,230.10 = 145,254.87 : x
  2. Step 2: Convert to fraction form
    287,309.70/431,230.10 = 145,254.87/x
  3. Step 3: Cross multiply
    287,309.70x = 431,230.10 × 145,254.87
  4. Step 4: Simplify right side
    287,309.70x = 62,638,271,389.31
  5. Step 5: Solve for x
    x = 62,638,271,389.31/287,309.70
  6. Step 6: Final answer
    x = 218,016.56

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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.