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Finding the Fourth Proportional to 320,430.60, 480,678.48 and 110,041.20

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Solution

The fourth proportional to 320,430.60, 480,678.48 and 110,041.20 is: 165,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,430.60 : 480,678.48 = 110,041.20 : x
  2. Step 2: Convert to fraction form
    320,430.60/480,678.48 = 110,041.20/x
  3. Step 3: Cross multiply
    320,430.60x = 480,678.48 × 110,041.20
  4. Step 4: Simplify right side
    320,430.60x = 52,894,436,753.38
  5. Step 5: Solve for x
    x = 52,894,436,753.38/320,430.60
  6. Step 6: Final answer
    x = 165,072.99

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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.