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Finding the Fourth Proportional to 486,035.40, 729,053.10 and 465,040.20

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Solution

The fourth proportional to 486,035.40, 729,053.10 and 465,040.20 is: 697,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,035.40 : 729,053.10 = 465,040.20 : x
  2. Step 2: Convert to fraction form
    486,035.40/729,053.10 = 465,040.20/x
  3. Step 3: Cross multiply
    486,035.40x = 729,053.10 × 465,040.20
  4. Step 4: Simplify right side
    486,035.40x = 339,038,999,434.62
  5. Step 5: Solve for x
    x = 339,038,999,434.62/486,035.40
  6. Step 6: Final answer
    x = 697,560.30

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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.