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Finding the Fourth Proportional to 285,332.50, 427,997.76 and 85,652.08

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Solution

The fourth proportional to 285,332.50, 427,997.76 and 85,652.08 is: 128,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,332.50 : 427,997.76 = 85,652.08 : x
  2. Step 2: Convert to fraction form
    285,332.50/427,997.76 = 85,652.08/x
  3. Step 3: Cross multiply
    285,332.50x = 427,997.76 × 85,652.08
  4. Step 4: Simplify right side
    285,332.50x = 36,658,898,379.34
  5. Step 5: Solve for x
    x = 36,658,898,379.34/285,332.50
  6. Step 6: Final answer
    x = 128,477.82

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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.