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Finding the Fourth Proportional to 429,642.17, 644,287.68 and 186,498.80

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Solution

The fourth proportional to 429,642.17, 644,287.68 and 186,498.80 is: 279,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,642.17 : 644,287.68 = 186,498.80 : x
  2. Step 2: Convert to fraction form
    429,642.17/644,287.68 = 186,498.80/x
  3. Step 3: Cross multiply
    429,642.17x = 644,287.68 × 186,498.80
  4. Step 4: Simplify right side
    429,642.17x = 120,158,875,953.35
  5. Step 5: Solve for x
    x = 120,158,875,953.35/429,642.17
  6. Step 6: Final answer
    x = 279,671.98

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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.