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Finding the Fourth Proportional to 291,889.76, 402,808.58 and 157,753.76

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Solution

The fourth proportional to 291,889.76, 402,808.58 and 157,753.76 is: 217,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,889.76 : 402,808.58 = 157,753.76 : x
  2. Step 2: Convert to fraction form
    291,889.76/402,808.58 = 157,753.76/x
  3. Step 3: Cross multiply
    291,889.76x = 402,808.58 × 157,753.76
  4. Step 4: Simplify right side
    291,889.76x = 63,544,568,055.26
  5. Step 5: Solve for x
    x = 63,544,568,055.26/291,889.76
  6. Step 6: Final answer
    x = 217,700.57

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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.