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Finding the Fourth Proportional to 314,000.10, 471,000.15 and 303,174.45

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Solution

The fourth proportional to 314,000.10, 471,000.15 and 303,174.45 is: 454,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,000.10 : 471,000.15 = 303,174.45 : x
  2. Step 2: Convert to fraction form
    314,000.10/471,000.15 = 303,174.45/x
  3. Step 3: Cross multiply
    314,000.10x = 471,000.15 × 303,174.45
  4. Step 4: Simplify right side
    314,000.10x = 142,795,211,426.17
  5. Step 5: Solve for x
    x = 142,795,211,426.17/314,000.10
  6. Step 6: Final answer
    x = 454,761.68

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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.