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Finding the Fourth Proportional to 291,864.16, 434,894.75 and 260,029.54

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Solution

The fourth proportional to 291,864.16, 434,894.75 and 260,029.54 is: 387,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,864.16 : 434,894.75 = 260,029.54 : x
  2. Step 2: Convert to fraction form
    291,864.16/434,894.75 = 260,029.54/x
  3. Step 3: Cross multiply
    291,864.16x = 434,894.75 × 260,029.54
  4. Step 4: Simplify right side
    291,864.16x = 113,085,481,790.92
  5. Step 5: Solve for x
    x = 113,085,481,790.92/291,864.16
  6. Step 6: Final answer
    x = 387,459.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.