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Finding the Fourth Proportional to 282,754.74, 390,204.30 and 153,693.78

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Solution

The fourth proportional to 282,754.74, 390,204.30 and 153,693.78 is: 212,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,754.74 : 390,204.30 = 153,693.78 : x
  2. Step 2: Convert to fraction form
    282,754.74/390,204.30 = 153,693.78/x
  3. Step 3: Cross multiply
    282,754.74x = 390,204.30 × 153,693.78
  4. Step 4: Simplify right side
    282,754.74x = 59,971,973,839.25
  5. Step 5: Solve for x
    x = 59,971,973,839.25/282,754.74
  6. Step 6: Final answer
    x = 212,098.92

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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.