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Finding the Fourth Proportional to 407,586.83, 561,544.58 and 315,389.11

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Solution

The fourth proportional to 407,586.83, 561,544.58 and 315,389.11 is: 434,521.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,586.83 : 561,544.58 = 315,389.11 : x
  2. Step 2: Convert to fraction form
    407,586.83/561,544.58 = 315,389.11/x
  3. Step 3: Cross multiply
    407,586.83x = 561,544.58 × 315,389.11
  4. Step 4: Simplify right side
    407,586.83x = 177,105,046,801.93
  5. Step 5: Solve for x
    x = 177,105,046,801.93/407,586.83
  6. Step 6: Final answer
    x = 434,521.03

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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.