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Finding the Fourth Proportional to 386,459.80, 579,401.70 and 199,605.40

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Solution

The fourth proportional to 386,459.80, 579,401.70 and 199,605.40 is: 299,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,459.80 : 579,401.70 = 199,605.40 : x
  2. Step 2: Convert to fraction form
    386,459.80/579,401.70 = 199,605.40/x
  3. Step 3: Cross multiply
    386,459.80x = 579,401.70 × 199,605.40
  4. Step 4: Simplify right side
    386,459.80x = 115,651,708,089.18
  5. Step 5: Solve for x
    x = 115,651,708,089.18/386,459.80
  6. Step 6: Final answer
    x = 299,259.35

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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.