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Finding the Fourth Proportional to 418,208.65, 577,109.13 and 236,916.88

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Solution

The fourth proportional to 418,208.65, 577,109.13 and 236,916.88 is: 326,934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,208.65 : 577,109.13 = 236,916.88 : x
  2. Step 2: Convert to fraction form
    418,208.65/577,109.13 = 236,916.88/x
  3. Step 3: Cross multiply
    418,208.65x = 577,109.13 × 236,916.88
  4. Step 4: Simplify right side
    418,208.65x = 136,726,894,499.11
  5. Step 5: Solve for x
    x = 136,726,894,499.11/418,208.65
  6. Step 6: Final answer
    x = 326,934.64

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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.