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Finding the Fourth Proportional to 291,899.15, 402,820.58 and 157,763.15

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Solution

The fourth proportional to 291,899.15, 402,820.58 and 157,763.15 is: 217,713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,899.15 : 402,820.58 = 157,763.15 : x
  2. Step 2: Convert to fraction form
    291,899.15/402,820.58 = 157,763.15/x
  3. Step 3: Cross multiply
    291,899.15x = 402,820.58 × 157,763.15
  4. Step 4: Simplify right side
    291,899.15x = 63,550,241,965.93
  5. Step 5: Solve for x
    x = 63,550,241,965.93/291,899.15
  6. Step 6: Final answer
    x = 217,713.01

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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.