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Finding the Fourth Proportional to 257,294.40, 385,998.30 and 86,510.28

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Solution

The fourth proportional to 257,294.40, 385,998.30 and 86,510.28 is: 129,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,294.40 : 385,998.30 = 86,510.28 : x
  2. Step 2: Convert to fraction form
    257,294.40/385,998.30 = 86,510.28/x
  3. Step 3: Cross multiply
    257,294.40x = 385,998.30 × 86,510.28
  4. Step 4: Simplify right side
    257,294.40x = 33,392,821,012.52
  5. Step 5: Solve for x
    x = 33,392,821,012.52/257,294.40
  6. Step 6: Final answer
    x = 129,784.48

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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.