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Finding the Fourth Proportional to 284,156.82, 392,135.60 and 156,831.50

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Solution

The fourth proportional to 284,156.82, 392,135.60 and 156,831.50 is: 216,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,156.82 : 392,135.60 = 156,831.50 : x
  2. Step 2: Convert to fraction form
    284,156.82/392,135.60 = 156,831.50/x
  3. Step 3: Cross multiply
    284,156.82x = 392,135.60 × 156,831.50
  4. Step 4: Simplify right side
    284,156.82x = 61,499,214,351.40
  5. Step 5: Solve for x
    x = 61,499,214,351.40/284,156.82
  6. Step 6: Final answer
    x = 216,427.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.