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Finding the Fourth Proportional to 399,547.68, 551,392.56 and 229,781.94

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Solution

The fourth proportional to 399,547.68, 551,392.56 and 229,781.94 is: 317,108.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,547.68 : 551,392.56 = 229,781.94 : x
  2. Step 2: Convert to fraction form
    399,547.68/551,392.56 = 229,781.94/x
  3. Step 3: Cross multiply
    399,547.68x = 551,392.56 × 229,781.94
  4. Step 4: Simplify right side
    399,547.68x = 126,700,052,138.37
  5. Step 5: Solve for x
    x = 126,700,052,138.37/399,547.68
  6. Step 6: Final answer
    x = 317,108.72

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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.