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Finding the Fourth Proportional to 617,274.12, 851,649.32 and 402,335.76

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Solution

The fourth proportional to 617,274.12, 851,649.32 and 402,335.76 is: 555,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,274.12 : 851,649.32 = 402,335.76 : x
  2. Step 2: Convert to fraction form
    617,274.12/851,649.32 = 402,335.76/x
  3. Step 3: Cross multiply
    617,274.12x = 851,649.32 × 402,335.76
  4. Step 4: Simplify right side
    617,274.12x = 342,648,976,415.68
  5. Step 5: Solve for x
    x = 342,648,976,415.68/617,274.12
  6. Step 6: Final answer
    x = 555,100.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.