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Finding the Fourth Proportional to 314,728.95, 434,327.90 and 187,409.91

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Solution

The fourth proportional to 314,728.95, 434,327.90 and 187,409.91 is: 258,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,728.95 : 434,327.90 = 187,409.91 : x
  2. Step 2: Convert to fraction form
    314,728.95/434,327.90 = 187,409.91/x
  3. Step 3: Cross multiply
    314,728.95x = 434,327.90 × 187,409.91
  4. Step 4: Simplify right side
    314,728.95x = 81,397,351,712.44
  5. Step 5: Solve for x
    x = 81,397,351,712.44/314,728.95
  6. Step 6: Final answer
    x = 258,626.83

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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.