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Finding the Fourth Proportional to 651,471.90, 978,082.65 and 415,859.10

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Solution

The fourth proportional to 651,471.90, 978,082.65 and 415,859.10 is: 624,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,471.90 : 978,082.65 = 415,859.10 : x
  2. Step 2: Convert to fraction form
    651,471.90/978,082.65 = 415,859.10/x
  3. Step 3: Cross multiply
    651,471.90x = 978,082.65 × 415,859.10
  4. Step 4: Simplify right side
    651,471.90x = 406,744,570,554.62
  5. Step 5: Solve for x
    x = 406,744,570,554.62/651,471.90
  6. Step 6: Final answer
    x = 624,347.07

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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.