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Finding the Fourth Proportional to 291,857.84, 402,746.46 and 169,340.76

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Solution

The fourth proportional to 291,857.84, 402,746.46 and 169,340.76 is: 233,680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,857.84 : 402,746.46 = 169,340.76 : x
  2. Step 2: Convert to fraction form
    291,857.84/402,746.46 = 169,340.76/x
  3. Step 3: Cross multiply
    291,857.84x = 402,746.46 × 169,340.76
  4. Step 4: Simplify right side
    291,857.84x = 68,201,391,623.71
  5. Step 5: Solve for x
    x = 68,201,391,623.71/291,857.84
  6. Step 6: Final answer
    x = 233,680.18

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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.