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Finding the Fourth Proportional to 343,814.88, 516,061.73 and 258,127.71

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Solution

The fourth proportional to 343,814.88, 516,061.73 and 258,127.71 is: 387,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,814.88 : 516,061.73 = 258,127.71 : x
  2. Step 2: Convert to fraction form
    343,814.88/516,061.73 = 258,127.71/x
  3. Step 3: Cross multiply
    343,814.88x = 516,061.73 × 258,127.71
  4. Step 4: Simplify right side
    343,814.88x = 133,209,834,196.47
  5. Step 5: Solve for x
    x = 133,209,834,196.47/343,814.88
  6. Step 6: Final answer
    x = 387,446.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.