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Finding the Fourth Proportional to 429,657.66, 644,486.76 and 163,356.66

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Solution

The fourth proportional to 429,657.66, 644,486.76 and 163,356.66 is: 245,035.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,657.66 : 644,486.76 = 163,356.66 : x
  2. Step 2: Convert to fraction form
    429,657.66/644,486.76 = 163,356.66/x
  3. Step 3: Cross multiply
    429,657.66x = 644,486.76 × 163,356.66
  4. Step 4: Simplify right side
    429,657.66x = 105,281,204,527.82
  5. Step 5: Solve for x
    x = 105,281,204,527.82/429,657.66
  6. Step 6: Final answer
    x = 245,035.09

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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.