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Finding the Fourth Proportional to 306,098.70, 459,148.05 and 148,343.10

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Solution

The fourth proportional to 306,098.70, 459,148.05 and 148,343.10 is: 222,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,098.70 : 459,148.05 = 148,343.10 : x
  2. Step 2: Convert to fraction form
    306,098.70/459,148.05 = 148,343.10/x
  3. Step 3: Cross multiply
    306,098.70x = 459,148.05 × 148,343.10
  4. Step 4: Simplify right side
    306,098.70x = 68,111,445,095.96
  5. Step 5: Solve for x
    x = 68,111,445,095.96/306,098.70
  6. Step 6: Final answer
    x = 222,514.65

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1.5x scale

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.