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Finding the Fourth Proportional to 870,678.64, 1,306,522.32 and 365,194.54

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Solution

The fourth proportional to 870,678.64, 1,306,522.32 and 365,194.54 is: 548,003.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,678.64 : 1,306,522.32 = 365,194.54 : x
  2. Step 2: Convert to fraction form
    870,678.64/1,306,522.32 = 365,194.54/x
  3. Step 3: Cross multiply
    870,678.64x = 1,306,522.32 × 365,194.54
  4. Step 4: Simplify right side
    870,678.64x = 477,134,817,652.13
  5. Step 5: Solve for x
    x = 477,134,817,652.13/870,678.64
  6. Step 6: Final answer
    x = 548,003.36

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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.