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Finding the Fourth Proportional to 282,646.80, 423,970.20 and 279,694.35

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Solution

The fourth proportional to 282,646.80, 423,970.20 and 279,694.35 is: 419,541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,646.80 : 423,970.20 = 279,694.35 : x
  2. Step 2: Convert to fraction form
    282,646.80/423,970.20 = 279,694.35/x
  3. Step 3: Cross multiply
    282,646.80x = 423,970.20 × 279,694.35
  4. Step 4: Simplify right side
    282,646.80x = 118,582,069,508.37
  5. Step 5: Solve for x
    x = 118,582,069,508.37/282,646.80
  6. Step 6: Final answer
    x = 419,541.53

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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.