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Finding the Fourth Proportional to 304,714.71, 420,446.65 and 168,742.09

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Solution

The fourth proportional to 304,714.71, 420,446.65 and 168,742.09 is: 232,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,714.71 : 420,446.65 = 168,742.09 : x
  2. Step 2: Convert to fraction form
    304,714.71/420,446.65 = 168,742.09/x
  3. Step 3: Cross multiply
    304,714.71x = 420,446.65 × 168,742.09
  4. Step 4: Simplify right side
    304,714.71x = 70,947,044,509.58
  5. Step 5: Solve for x
    x = 70,947,044,509.58/304,714.71
  6. Step 6: Final answer
    x = 232,831.05

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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.