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Finding the Fourth Proportional to 280,405.53, 386,946.14 and 159,535.53

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Solution

The fourth proportional to 280,405.53, 386,946.14 and 159,535.53 is: 220,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,405.53 : 386,946.14 = 159,535.53 : x
  2. Step 2: Convert to fraction form
    280,405.53/386,946.14 = 159,535.53/x
  3. Step 3: Cross multiply
    280,405.53x = 386,946.14 × 159,535.53
  4. Step 4: Simplify right side
    280,405.53x = 61,731,656,728.68
  5. Step 5: Solve for x
    x = 61,731,656,728.68/280,405.53
  6. Step 6: Final answer
    x = 220,151.35

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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.