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Finding the Fourth Proportional to 289,642.06, 399,705.42 and 176,464.90

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Solution

The fourth proportional to 289,642.06, 399,705.42 and 176,464.90 is: 243,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,642.06 : 399,705.42 = 176,464.90 : x
  2. Step 2: Convert to fraction form
    289,642.06/399,705.42 = 176,464.90/x
  3. Step 3: Cross multiply
    289,642.06x = 399,705.42 × 176,464.90
  4. Step 4: Simplify right side
    289,642.06x = 70,533,976,969.76
  5. Step 5: Solve for x
    x = 70,533,976,969.76/289,642.06
  6. Step 6: Final answer
    x = 243,521.18

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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.