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Finding the Fourth Proportional to 282,643.60, 423,965.40 and 280,675.30

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Solution

The fourth proportional to 282,643.60, 423,965.40 and 280,675.30 is: 421,012.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,643.60 : 423,965.40 = 280,675.30 : x
  2. Step 2: Convert to fraction form
    282,643.60/423,965.40 = 280,675.30/x
  3. Step 3: Cross multiply
    282,643.60x = 423,965.40 × 280,675.30
  4. Step 4: Simplify right side
    282,643.60x = 118,996,615,834.62
  5. Step 5: Solve for x
    x = 118,996,615,834.62/282,643.60
  6. Step 6: Final answer
    x = 421,012.95

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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.