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Finding the Fourth Proportional to 306,155.68, 459,281.12 and 156,314.72

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Solution

The fourth proportional to 306,155.68, 459,281.12 and 156,314.72 is: 234,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,155.68 : 459,281.12 = 156,314.72 : x
  2. Step 2: Convert to fraction form
    306,155.68/459,281.12 = 156,314.72/x
  3. Step 3: Cross multiply
    306,155.68x = 459,281.12 × 156,314.72
  4. Step 4: Simplify right side
    306,155.68x = 71,792,399,674.09
  5. Step 5: Solve for x
    x = 71,792,399,674.09/306,155.68
  6. Step 6: Final answer
    x = 234,496.38

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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.