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Finding the Fourth Proportional to 353,894.69, 530,872.11 and 312,265.15

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Solution

The fourth proportional to 353,894.69, 530,872.11 and 312,265.15 is: 468,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,894.69 : 530,872.11 = 312,265.15 : x
  2. Step 2: Convert to fraction form
    353,894.69/530,872.11 = 312,265.15/x
  3. Step 3: Cross multiply
    353,894.69x = 530,872.11 × 312,265.15
  4. Step 4: Simplify right side
    353,894.69x = 165,772,857,732.79
  5. Step 5: Solve for x
    x = 165,772,857,732.79/353,894.69
  6. Step 6: Final answer
    x = 468,424.26

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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.