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Finding the Fourth Proportional to 306,612.34, 422,762.93 and 209,862.90

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Solution

The fourth proportional to 306,612.34, 422,762.93 and 209,862.90 is: 289,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,612.34 : 422,762.93 = 209,862.90 : x
  2. Step 2: Convert to fraction form
    306,612.34/422,762.93 = 209,862.90/x
  3. Step 3: Cross multiply
    306,612.34x = 422,762.93 × 209,862.90
  4. Step 4: Simplify right side
    306,612.34x = 88,722,255,026.95
  5. Step 5: Solve for x
    x = 88,722,255,026.95/306,612.34
  6. Step 6: Final answer
    x = 289,362.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.