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Finding the Fourth Proportional to 343,813.51, 516,059.67 and 258,126.34

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Solution

The fourth proportional to 343,813.51, 516,059.67 and 258,126.34 is: 387,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,813.51 : 516,059.67 = 258,126.34 : x
  2. Step 2: Convert to fraction form
    343,813.51/516,059.67 = 258,126.34/x
  3. Step 3: Cross multiply
    343,813.51x = 516,059.67 × 258,126.34
  4. Step 4: Simplify right side
    343,813.51x = 133,208,593,838.71
  5. Step 5: Solve for x
    x = 133,208,593,838.71/343,813.51
  6. Step 6: Final answer
    x = 387,444.33

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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.