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Finding the Fourth Proportional to 451,875, 677,812.50 and 156,387

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Solution

The fourth proportional to 451,875, 677,812.50 and 156,387 is: 234,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,875 : 677,812.50 = 156,387 : x
  2. Step 2: Convert to fraction form
    451,875/677,812.50 = 156,387/x
  3. Step 3: Cross multiply
    451,875x = 677,812.50 × 156,387
  4. Step 4: Simplify right side
    451,875x = 106,001,063,437.50
  5. Step 5: Solve for x
    x = 106,001,063,437.50/451,875
  6. Step 6: Final answer
    x = 234,580.50

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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.