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Finding the Fourth Proportional to 282,376.98, 423,424.40 and 90,225.95

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Solution

The fourth proportional to 282,376.98, 423,424.40 and 90,225.95 is: 135,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,376.98 : 423,424.40 = 90,225.95 : x
  2. Step 2: Convert to fraction form
    282,376.98/423,424.40 = 90,225.95/x
  3. Step 3: Cross multiply
    282,376.98x = 423,424.40 × 90,225.95
  4. Step 4: Simplify right side
    282,376.98x = 38,203,866,174.93
  5. Step 5: Solve for x
    x = 38,203,866,174.93/282,376.98
  6. Step 6: Final answer
    x = 135,293.84

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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.