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Finding the Fourth Proportional to 475,318.72, 655,911.36 and 260,416

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Solution

The fourth proportional to 475,318.72, 655,911.36 and 260,416 is: 359,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,318.72 : 655,911.36 = 260,416 : x
  2. Step 2: Convert to fraction form
    475,318.72/655,911.36 = 260,416/x
  3. Step 3: Cross multiply
    475,318.72x = 655,911.36 × 260,416
  4. Step 4: Simplify right side
    475,318.72x = 170,809,812,725.76
  5. Step 5: Solve for x
    x = 170,809,812,725.76/475,318.72
  6. Step 6: Final answer
    x = 359,358.48

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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.