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Finding the Fourth Proportional to 282,981.32, 424,369.26 and 154,992.68

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Solution

The fourth proportional to 282,981.32, 424,369.26 and 154,992.68 is: 232,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,981.32 : 424,369.26 = 154,992.68 : x
  2. Step 2: Convert to fraction form
    282,981.32/424,369.26 = 154,992.68/x
  3. Step 3: Cross multiply
    282,981.32x = 424,369.26 × 154,992.68
  4. Step 4: Simplify right side
    282,981.32x = 65,774,128,917.02
  5. Step 5: Solve for x
    x = 65,774,128,917.02/282,981.32
  6. Step 6: Final answer
    x = 232,432.76

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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.