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Finding the Fourth Proportional to 340,891.90, 510,353.70 and 208,031.65

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Solution

The fourth proportional to 340,891.90, 510,353.70 and 208,031.65 is: 311,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,891.90 : 510,353.70 = 208,031.65 : x
  2. Step 2: Convert to fraction form
    340,891.90/510,353.70 = 208,031.65/x
  3. Step 3: Cross multiply
    340,891.90x = 510,353.70 × 208,031.65
  4. Step 4: Simplify right side
    340,891.90x = 106,169,722,294.61
  5. Step 5: Solve for x
    x = 106,169,722,294.61/340,891.90
  6. Step 6: Final answer
    x = 311,446.89

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1.5x scale

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.