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Finding the Fourth Proportional to 577,402.40, 866,233.20 and 340,623.20

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Solution

The fourth proportional to 577,402.40, 866,233.20 and 340,623.20 is: 511,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,402.40 : 866,233.20 = 340,623.20 : x
  2. Step 2: Convert to fraction form
    577,402.40/866,233.20 = 340,623.20/x
  3. Step 3: Cross multiply
    577,402.40x = 866,233.20 × 340,623.20
  4. Step 4: Simplify right side
    577,402.40x = 295,059,124,530.24
  5. Step 5: Solve for x
    x = 295,059,124,530.24/577,402.40
  6. Step 6: Final answer
    x = 511,011.25

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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.