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Finding the Fourth Proportional to 430,063.32, 645,103.84 and 156,500.16

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Solution

The fourth proportional to 430,063.32, 645,103.84 and 156,500.16 is: 234,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,063.32 : 645,103.84 = 156,500.16 : x
  2. Step 2: Convert to fraction form
    430,063.32/645,103.84 = 156,500.16/x
  3. Step 3: Cross multiply
    430,063.32x = 645,103.84 × 156,500.16
  4. Step 4: Simplify right side
    430,063.32x = 100,958,854,176.61
  5. Step 5: Solve for x
    x = 100,958,854,176.61/430,063.32
  6. Step 6: Final answer
    x = 234,753.46

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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.