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Finding the Fourth Proportional to 343,530.10, 515,295.15 and 288,417.70

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Solution

The fourth proportional to 343,530.10, 515,295.15 and 288,417.70 is: 432,626.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,530.10 : 515,295.15 = 288,417.70 : x
  2. Step 2: Convert to fraction form
    343,530.10/515,295.15 = 288,417.70/x
  3. Step 3: Cross multiply
    343,530.10x = 515,295.15 × 288,417.70
  4. Step 4: Simplify right side
    343,530.10x = 148,620,241,984.16
  5. Step 5: Solve for x
    x = 148,620,241,984.16/343,530.10
  6. Step 6: Final answer
    x = 432,626.55

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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.