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Finding the Fourth Proportional to 202,246.32, 278,931.96 and 151,857.84

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Solution

The fourth proportional to 202,246.32, 278,931.96 and 151,857.84 is: 209,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,246.32 : 278,931.96 = 151,857.84 : x
  2. Step 2: Convert to fraction form
    202,246.32/278,931.96 = 151,857.84/x
  3. Step 3: Cross multiply
    202,246.32x = 278,931.96 × 151,857.84
  4. Step 4: Simplify right side
    202,246.32x = 42,358,004,952.57
  5. Step 5: Solve for x
    x = 42,358,004,952.57/202,246.32
  6. Step 6: Final answer
    x = 209,437.70

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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.