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Finding the Fourth Proportional to 282,502.73, 389,856.62 and 153,442.45

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Solution

The fourth proportional to 282,502.73, 389,856.62 and 153,442.45 is: 211,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,502.73 : 389,856.62 = 153,442.45 : x
  2. Step 2: Convert to fraction form
    282,502.73/389,856.62 = 153,442.45/x
  3. Step 3: Cross multiply
    282,502.73x = 389,856.62 × 153,442.45
  4. Step 4: Simplify right side
    282,502.73x = 59,820,554,921.52
  5. Step 5: Solve for x
    x = 59,820,554,921.52/282,502.73
  6. Step 6: Final answer
    x = 211,752.13

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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.