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Finding the Fourth Proportional to 288,868.32, 433,301.27 and 78,505.66

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Solution

The fourth proportional to 288,868.32, 433,301.27 and 78,505.66 is: 117,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,868.32 : 433,301.27 = 78,505.66 : x
  2. Step 2: Convert to fraction form
    288,868.32/433,301.27 = 78,505.66/x
  3. Step 3: Cross multiply
    288,868.32x = 433,301.27 × 78,505.66
  4. Step 4: Simplify right side
    288,868.32x = 34,016,602,180.19
  5. Step 5: Solve for x
    x = 34,016,602,180.19/288,868.32
  6. Step 6: Final answer
    x = 117,758.16

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1.5x scale

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.