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Finding the Fourth Proportional to 465,885.60, 642,901.42 and 284,900.82

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Solution

The fourth proportional to 465,885.60, 642,901.42 and 284,900.82 is: 393,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,885.60 : 642,901.42 = 284,900.82 : x
  2. Step 2: Convert to fraction form
    465,885.60/642,901.42 = 284,900.82/x
  3. Step 3: Cross multiply
    465,885.60x = 642,901.42 × 284,900.82
  4. Step 4: Simplify right side
    465,885.60x = 183,163,141,737.16
  5. Step 5: Solve for x
    x = 183,163,141,737.16/465,885.60
  6. Step 6: Final answer
    x = 393,150.47

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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.