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Finding the Fourth Proportional to 578,002.60, 867,068.70 and 178,640.20

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Solution

The fourth proportional to 578,002.60, 867,068.70 and 178,640.20 is: 267,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,002.60 : 867,068.70 = 178,640.20 : x
  2. Step 2: Convert to fraction form
    578,002.60/867,068.70 = 178,640.20/x
  3. Step 3: Cross multiply
    578,002.60x = 867,068.70 × 178,640.20
  4. Step 4: Simplify right side
    578,002.60x = 154,893,325,981.74
  5. Step 5: Solve for x
    x = 154,893,325,981.74/578,002.60
  6. Step 6: Final answer
    x = 267,980.33

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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.