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Finding the Fourth Proportional to 664,908.10, 997,070.55 and 265,416.10

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Solution

The fourth proportional to 664,908.10, 997,070.55 and 265,416.10 is: 398,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,908.10 : 997,070.55 = 265,416.10 : x
  2. Step 2: Convert to fraction form
    664,908.10/997,070.55 = 265,416.10/x
  3. Step 3: Cross multiply
    664,908.10x = 997,070.55 × 265,416.10
  4. Step 4: Simplify right side
    664,908.10x = 264,638,576,805.86
  5. Step 5: Solve for x
    x = 264,638,576,805.86/664,908.10
  6. Step 6: Final answer
    x = 398,007.75

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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.