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Finding the Fourth Proportional to 288,085.64, 397,557.60 and 160,753.64

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Solution

The fourth proportional to 288,085.64, 397,557.60 and 160,753.64 is: 221,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,085.64 : 397,557.60 = 160,753.64 : x
  2. Step 2: Convert to fraction form
    288,085.64/397,557.60 = 160,753.64/x
  3. Step 3: Cross multiply
    288,085.64x = 397,557.60 × 160,753.64
  4. Step 4: Simplify right side
    288,085.64x = 63,908,831,309.66
  5. Step 5: Solve for x
    x = 63,908,831,309.66/288,085.64
  6. Step 6: Final answer
    x = 221,839.70

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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.