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Finding the Fourth Proportional to 257,228.92, 385,863.34 and 77,300.30

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Solution

The fourth proportional to 257,228.92, 385,863.34 and 77,300.30 is: 115,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,228.92 : 385,863.34 = 77,300.30 : x
  2. Step 2: Convert to fraction form
    257,228.92/385,863.34 = 77,300.30/x
  3. Step 3: Cross multiply
    257,228.92x = 385,863.34 × 77,300.30
  4. Step 4: Simplify right side
    257,228.92x = 29,827,351,941.00
  5. Step 5: Solve for x
    x = 29,827,351,941.00/257,228.92
  6. Step 6: Final answer
    x = 115,956.45

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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.