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Finding the Fourth Proportional to 407,468, 610,648.26 and 154,612.52

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Solution

The fourth proportional to 407,468, 610,648.26 and 154,612.52 is: 231,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,468 : 610,648.26 = 154,612.52 : x
  2. Step 2: Convert to fraction form
    407,468/610,648.26 = 154,612.52/x
  3. Step 3: Cross multiply
    407,468x = 610,648.26 × 154,612.52
  4. Step 4: Simplify right side
    407,468x = 94,413,866,312.22
  5. Step 5: Solve for x
    x = 94,413,866,312.22/407,468
  6. Step 6: Final answer
    x = 231,708.67

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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.