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Finding the Fourth Proportional to 314,007.30, 471,010.95 and 311,382.90

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Solution

The fourth proportional to 314,007.30, 471,010.95 and 311,382.90 is: 467,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,007.30 : 471,010.95 = 311,382.90 : x
  2. Step 2: Convert to fraction form
    314,007.30/471,010.95 = 311,382.90/x
  3. Step 3: Cross multiply
    314,007.30x = 471,010.95 × 311,382.90
  4. Step 4: Simplify right side
    314,007.30x = 146,664,755,542.76
  5. Step 5: Solve for x
    x = 146,664,755,542.76/314,007.30
  6. Step 6: Final answer
    x = 467,074.35

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1.5x scale

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.