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Finding the Fourth Proportional to 282,643.20, 423,511.20 and 149,349.60

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Solution

The fourth proportional to 282,643.20, 423,511.20 and 149,349.60 is: 223,784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,643.20 : 423,511.20 = 149,349.60 : x
  2. Step 2: Convert to fraction form
    282,643.20/423,511.20 = 149,349.60/x
  3. Step 3: Cross multiply
    282,643.20x = 423,511.20 × 149,349.60
  4. Step 4: Simplify right side
    282,643.20x = 63,251,228,315.52
  5. Step 5: Solve for x
    x = 63,251,228,315.52/282,643.20
  6. Step 6: Final answer
    x = 223,784.72

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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.