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Finding the Fourth Proportional to 293,206.70, 439,810.05 and 71,590.70

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Solution

The fourth proportional to 293,206.70, 439,810.05 and 71,590.70 is: 107,386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,206.70 : 439,810.05 = 71,590.70 : x
  2. Step 2: Convert to fraction form
    293,206.70/439,810.05 = 71,590.70/x
  3. Step 3: Cross multiply
    293,206.70x = 439,810.05 × 71,590.70
  4. Step 4: Simplify right side
    293,206.70x = 31,486,309,346.54
  5. Step 5: Solve for x
    x = 31,486,309,346.54/293,206.70
  6. Step 6: Final answer
    x = 107,386.05

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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.