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Finding the Fourth Proportional to 578,223.60, 867,400.20 and 178,861.20

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Solution

The fourth proportional to 578,223.60, 867,400.20 and 178,861.20 is: 268,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,223.60 : 867,400.20 = 178,861.20 : x
  2. Step 2: Convert to fraction form
    578,223.60/867,400.20 = 178,861.20/x
  3. Step 3: Cross multiply
    578,223.60x = 867,400.20 × 178,861.20
  4. Step 4: Simplify right side
    578,223.60x = 155,144,240,652.24
  5. Step 5: Solve for x
    x = 155,144,240,652.24/578,223.60
  6. Step 6: Final answer
    x = 268,311.84

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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.