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Finding the Fourth Proportional to 409,666.40, 614,499.60 and 267,948.80

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Solution

The fourth proportional to 409,666.40, 614,499.60 and 267,948.80 is: 401,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,666.40 : 614,499.60 = 267,948.80 : x
  2. Step 2: Convert to fraction form
    409,666.40/614,499.60 = 267,948.80/x
  3. Step 3: Cross multiply
    409,666.40x = 614,499.60 × 267,948.80
  4. Step 4: Simplify right side
    409,666.40x = 164,654,430,420.48
  5. Step 5: Solve for x
    x = 164,654,430,420.48/409,666.40
  6. Step 6: Final answer
    x = 401,923.20

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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.