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Finding the Fourth Proportional to 282,602.31, 389,986.68 and 155,275.17

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Solution

The fourth proportional to 282,602.31, 389,986.68 and 155,275.17 is: 214,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,602.31 : 389,986.68 = 155,275.17 : x
  2. Step 2: Convert to fraction form
    282,602.31/389,986.68 = 155,275.17/x
  3. Step 3: Cross multiply
    282,602.31x = 389,986.68 × 155,275.17
  4. Step 4: Simplify right side
    282,602.31x = 60,555,248,034.74
  5. Step 5: Solve for x
    x = 60,555,248,034.74/282,602.31
  6. Step 6: Final answer
    x = 214,277.26

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1.5x scale

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.