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Finding the Fourth Proportional to 282,781.52, 424,366.70 and 105,430.40

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Solution

The fourth proportional to 282,781.52, 424,366.70 and 105,430.40 is: 158,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,781.52 : 424,366.70 = 105,430.40 : x
  2. Step 2: Convert to fraction form
    282,781.52/424,366.70 = 105,430.40/x
  3. Step 3: Cross multiply
    282,781.52x = 424,366.70 × 105,430.40
  4. Step 4: Simplify right side
    282,781.52x = 44,741,150,927.68
  5. Step 5: Solve for x
    x = 44,741,150,927.68/282,781.52
  6. Step 6: Final answer
    x = 158,218.09

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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.