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Finding the Fourth Proportional to 407,117.70, 610,676.55 and 265,400.10

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Solution

The fourth proportional to 407,117.70, 610,676.55 and 265,400.10 is: 398,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,117.70 : 610,676.55 = 265,400.10 : x
  2. Step 2: Convert to fraction form
    407,117.70/610,676.55 = 265,400.10/x
  3. Step 3: Cross multiply
    407,117.70x = 610,676.55 × 265,400.10
  4. Step 4: Simplify right side
    407,117.70x = 162,073,617,437.66
  5. Step 5: Solve for x
    x = 162,073,617,437.66/407,117.70
  6. Step 6: Final answer
    x = 398,100.15

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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.