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Finding the Fourth Proportional to 418,398.42, 577,386.93 and 227,411.80

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Solution

The fourth proportional to 418,398.42, 577,386.93 and 227,411.80 is: 313,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,398.42 : 577,386.93 = 227,411.80 : x
  2. Step 2: Convert to fraction form
    418,398.42/577,386.93 = 227,411.80/x
  3. Step 3: Cross multiply
    418,398.42x = 577,386.93 × 227,411.80
  4. Step 4: Simplify right side
    418,398.42x = 131,304,601,047.77
  5. Step 5: Solve for x
    x = 131,304,601,047.77/418,398.42
  6. Step 6: Final answer
    x = 313,826.71

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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.