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Finding the Fourth Proportional to 291,857.86, 402,746.52 and 169,340.76

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Solution

The fourth proportional to 291,857.86, 402,746.52 and 169,340.76 is: 233,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,857.86 : 402,746.52 = 169,340.76 : x
  2. Step 2: Convert to fraction form
    291,857.86/402,746.52 = 169,340.76/x
  3. Step 3: Cross multiply
    291,857.86x = 402,746.52 × 169,340.76
  4. Step 4: Simplify right side
    291,857.86x = 68,201,401,784.16
  5. Step 5: Solve for x
    x = 68,201,401,784.16/291,857.86
  6. Step 6: Final answer
    x = 233,680.20

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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.