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Finding the Fourth Proportional to 407,315.64, 562,342.86 and 316,500.06

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Solution

The fourth proportional to 407,315.64, 562,342.86 and 316,500.06 is: 436,962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,315.64 : 562,342.86 = 316,500.06 : x
  2. Step 2: Convert to fraction form
    407,315.64/562,342.86 = 316,500.06/x
  3. Step 3: Cross multiply
    407,315.64x = 562,342.86 × 316,500.06
  4. Step 4: Simplify right side
    407,315.64x = 177,981,548,930.57
  5. Step 5: Solve for x
    x = 177,981,548,930.57/407,315.64
  6. Step 6: Final answer
    x = 436,962.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.