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Finding the Fourth Proportional to 431,365.80, 647,048.70 and 355,258.20

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Solution

The fourth proportional to 431,365.80, 647,048.70 and 355,258.20 is: 532,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,365.80 : 647,048.70 = 355,258.20 : x
  2. Step 2: Convert to fraction form
    431,365.80/647,048.70 = 355,258.20/x
  3. Step 3: Cross multiply
    431,365.80x = 647,048.70 × 355,258.20
  4. Step 4: Simplify right side
    431,365.80x = 229,869,356,474.34
  5. Step 5: Solve for x
    x = 229,869,356,474.34/431,365.80
  6. Step 6: Final answer
    x = 532,887.30

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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.