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Finding the Fourth Proportional to 430,073.32, 645,118.84 and 156,510.16

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Solution

The fourth proportional to 430,073.32, 645,118.84 and 156,510.16 is: 234,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,073.32 : 645,118.84 = 156,510.16 : x
  2. Step 2: Convert to fraction form
    430,073.32/645,118.84 = 156,510.16/x
  3. Step 3: Cross multiply
    430,073.32x = 645,118.84 × 156,510.16
  4. Step 4: Simplify right side
    430,073.32x = 100,967,652,867.41
  5. Step 5: Solve for x
    x = 100,967,652,867.41/430,073.32
  6. Step 6: Final answer
    x = 234,768.46

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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.