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Finding the Fourth Proportional to 343,529.85, 515,294.78 and 288,417.45

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Solution

The fourth proportional to 343,529.85, 515,294.78 and 288,417.45 is: 432,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,529.85 : 515,294.78 = 288,417.45 : x
  2. Step 2: Convert to fraction form
    343,529.85/515,294.78 = 288,417.45/x
  3. Step 3: Cross multiply
    343,529.85x = 515,294.78 × 288,417.45
  4. Step 4: Simplify right side
    343,529.85x = 148,620,005,003.82
  5. Step 5: Solve for x
    x = 148,620,005,003.82/343,529.85
  6. Step 6: Final answer
    x = 432,626.18

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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.