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Finding the Fourth Proportional to 407,321.64, 562,351.14 and 316,506.06

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Solution

The fourth proportional to 407,321.64, 562,351.14 and 316,506.06 is: 436,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,321.64 : 562,351.14 = 316,506.06 : x
  2. Step 2: Convert to fraction form
    407,321.64/562,351.14 = 316,506.06/x
  3. Step 3: Cross multiply
    407,321.64x = 562,351.14 × 316,506.06
  4. Step 4: Simplify right side
    407,321.64x = 177,987,543,657.91
  5. Step 5: Solve for x
    x = 177,987,543,657.91/407,321.64
  6. Step 6: Final answer
    x = 436,970.51

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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.