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Finding the Fourth Proportional to 354,911.16, 531,828 and 260,204.40

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Solution

The fourth proportional to 354,911.16, 531,828 and 260,204.40 is: 389,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,911.16 : 531,828 = 260,204.40 : x
  2. Step 2: Convert to fraction form
    354,911.16/531,828 = 260,204.40/x
  3. Step 3: Cross multiply
    354,911.16x = 531,828 × 260,204.40
  4. Step 4: Simplify right side
    354,911.16x = 138,383,985,643.20
  5. Step 5: Solve for x
    x = 138,383,985,643.20/354,911.16
  6. Step 6: Final answer
    x = 389,911.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.