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Finding the Fourth Proportional to 257,271.32, 385,944.35 and 79,792.63

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Solution

The fourth proportional to 257,271.32, 385,944.35 and 79,792.63 is: 119,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,271.32 : 385,944.35 = 79,792.63 : x
  2. Step 2: Convert to fraction form
    257,271.32/385,944.35 = 79,792.63/x
  3. Step 3: Cross multiply
    257,271.32x = 385,944.35 × 79,792.63
  4. Step 4: Simplify right side
    257,271.32x = 30,795,513,356.32
  5. Step 5: Solve for x
    x = 30,795,513,356.32/257,271.32
  6. Step 6: Final answer
    x = 119,700.53

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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.