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Finding the Fourth Proportional to 296,189.34, 408,316.14 and 211,158.78

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Solution

The fourth proportional to 296,189.34, 408,316.14 and 211,158.78 is: 291,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,189.34 : 408,316.14 = 211,158.78 : x
  2. Step 2: Convert to fraction form
    296,189.34/408,316.14 = 211,158.78/x
  3. Step 3: Cross multiply
    296,189.34x = 408,316.14 × 211,158.78
  4. Step 4: Simplify right side
    296,189.34x = 86,219,537,976.71
  5. Step 5: Solve for x
    x = 86,219,537,976.71/296,189.34
  6. Step 6: Final answer
    x = 291,096.02

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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.