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Finding the Fourth Proportional to 206,257.35, 309,386.28 and 56,498.95

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Solution

The fourth proportional to 206,257.35, 309,386.28 and 56,498.95 is: 84,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,257.35 : 309,386.28 = 56,498.95 : x
  2. Step 2: Convert to fraction form
    206,257.35/309,386.28 = 56,498.95/x
  3. Step 3: Cross multiply
    206,257.35x = 309,386.28 × 56,498.95
  4. Step 4: Simplify right side
    206,257.35x = 17,480,000,563.01
  5. Step 5: Solve for x
    x = 17,480,000,563.01/206,257.35
  6. Step 6: Final answer
    x = 84,748.50

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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.