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Finding the Fourth Proportional to 310,069.30, 464,775.90 and 120,456.40

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Solution

The fourth proportional to 310,069.30, 464,775.90 and 120,456.40 is: 180,557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,069.30 : 464,775.90 = 120,456.40 : x
  2. Step 2: Convert to fraction form
    310,069.30/464,775.90 = 120,456.40/x
  3. Step 3: Cross multiply
    310,069.30x = 464,775.90 × 120,456.40
  4. Step 4: Simplify right side
    310,069.30x = 55,985,231,720.76
  5. Step 5: Solve for x
    x = 55,985,231,720.76/310,069.30
  6. Step 6: Final answer
    x = 180,557.16

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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.