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Finding the Fourth Proportional to 407,125.80, 610,688.70 and 281,154.60

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Solution

The fourth proportional to 407,125.80, 610,688.70 and 281,154.60 is: 421,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,125.80 : 610,688.70 = 281,154.60 : x
  2. Step 2: Convert to fraction form
    407,125.80/610,688.70 = 281,154.60/x
  3. Step 3: Cross multiply
    407,125.80x = 610,688.70 × 281,154.60
  4. Step 4: Simplify right side
    407,125.80x = 171,697,937,173.02
  5. Step 5: Solve for x
    x = 171,697,937,173.02/407,125.80
  6. Step 6: Final answer
    x = 421,731.90

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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.