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Finding the Fourth Proportional to 311,647.64, 430,073.88 and 168,407.69

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Solution

The fourth proportional to 311,647.64, 430,073.88 and 168,407.69 is: 232,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,647.64 : 430,073.88 = 168,407.69 : x
  2. Step 2: Convert to fraction form
    311,647.64/430,073.88 = 168,407.69/x
  3. Step 3: Cross multiply
    311,647.64x = 430,073.88 × 168,407.69
  4. Step 4: Simplify right side
    311,647.64x = 72,427,748,660.14
  5. Step 5: Solve for x
    x = 72,427,748,660.14/311,647.64
  6. Step 6: Final answer
    x = 232,402.69

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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.