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Finding the Fourth Proportional to 282,978.32, 424,364.76 and 154,989.68

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Solution

The fourth proportional to 282,978.32, 424,364.76 and 154,989.68 is: 232,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,978.32 : 424,364.76 = 154,989.68 : x
  2. Step 2: Convert to fraction form
    282,978.32/424,364.76 = 154,989.68/x
  3. Step 3: Cross multiply
    282,978.32x = 424,364.76 × 154,989.68
  4. Step 4: Simplify right side
    282,978.32x = 65,772,156,233.85
  5. Step 5: Solve for x
    x = 65,772,156,233.85/282,978.32
  6. Step 6: Final answer
    x = 232,428.26

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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.