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Finding the Fourth Proportional to 296,188.71, 408,315.29 and 211,158.15

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Solution

The fourth proportional to 296,188.71, 408,315.29 and 211,158.15 is: 291,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,188.71 : 408,315.29 = 211,158.15 : x
  2. Step 2: Convert to fraction form
    296,188.71/408,315.29 = 211,158.15/x
  3. Step 3: Cross multiply
    296,188.71x = 408,315.29 × 211,158.15
  4. Step 4: Simplify right side
    296,188.71x = 86,219,099,211.54
  5. Step 5: Solve for x
    x = 86,219,099,211.54/296,188.71
  6. Step 6: Final answer
    x = 291,095.16

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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.