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Finding the Fourth Proportional to 418,402.65, 577,673.71 and 321,433.79

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Solution

The fourth proportional to 418,402.65, 577,673.71 and 321,433.79 is: 443,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,402.65 : 577,673.71 = 321,433.79 : x
  2. Step 2: Convert to fraction form
    418,402.65/577,673.71 = 321,433.79/x
  3. Step 3: Cross multiply
    418,402.65x = 577,673.71 × 321,433.79
  4. Step 4: Simplify right side
    418,402.65x = 185,683,849,988.66
  5. Step 5: Solve for x
    x = 185,683,849,988.66/418,402.65
  6. Step 6: Final answer
    x = 443,792.24

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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.