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Finding the Fourth Proportional to 513,873.29, 771,692.03 and 315,359.30

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Solution

The fourth proportional to 513,873.29, 771,692.03 and 315,359.30 is: 473,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,873.29 : 771,692.03 = 315,359.30 : x
  2. Step 2: Convert to fraction form
    513,873.29/771,692.03 = 315,359.30/x
  3. Step 3: Cross multiply
    513,873.29x = 771,692.03 × 315,359.30
  4. Step 4: Simplify right side
    513,873.29x = 243,360,258,396.38
  5. Step 5: Solve for x
    x = 243,360,258,396.38/513,873.29
  6. Step 6: Final answer
    x = 473,580.28

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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.