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Finding the Fourth Proportional to 417,398.40, 626,087.16 and 228,042.72

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Solution

The fourth proportional to 417,398.40, 626,087.16 and 228,042.72 is: 342,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,398.40 : 626,087.16 = 228,042.72 : x
  2. Step 2: Convert to fraction form
    417,398.40/626,087.16 = 228,042.72/x
  3. Step 3: Cross multiply
    417,398.40x = 626,087.16 × 228,042.72
  4. Step 4: Simplify right side
    417,398.40x = 142,774,618,923.48
  5. Step 5: Solve for x
    x = 142,774,618,923.48/417,398.40
  6. Step 6: Final answer
    x = 342,058.38

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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.