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Finding the Fourth Proportional to 257,200.79, 385,833.98 and 79,718.45

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Solution

The fourth proportional to 257,200.79, 385,833.98 and 79,718.45 is: 119,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,200.79 : 385,833.98 = 79,718.45 : x
  2. Step 2: Convert to fraction form
    257,200.79/385,833.98 = 79,718.45/x
  3. Step 3: Cross multiply
    257,200.79x = 385,833.98 × 79,718.45
  4. Step 4: Simplify right side
    257,200.79x = 30,758,085,113.06
  5. Step 5: Solve for x
    x = 30,758,085,113.06/257,200.79
  6. Step 6: Final answer
    x = 119,587.84

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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.