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Finding the Fourth Proportional to 390,126.60, 584,315.10 and 320,142.60

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Solution

The fourth proportional to 390,126.60, 584,315.10 and 320,142.60 is: 479,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,126.60 : 584,315.10 = 320,142.60 : x
  2. Step 2: Convert to fraction form
    390,126.60/584,315.10 = 320,142.60/x
  3. Step 3: Cross multiply
    390,126.60x = 584,315.10 × 320,142.60
  4. Step 4: Simplify right side
    390,126.60x = 187,064,155,333.26
  5. Step 5: Solve for x
    x = 187,064,155,333.26/390,126.60
  6. Step 6: Final answer
    x = 479,496.03

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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.