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Finding the Fourth Proportional to 394,423.71, 591,209.03 and 157,506

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Solution

The fourth proportional to 394,423.71, 591,209.03 and 157,506 is: 236,088.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,423.71 : 591,209.03 = 157,506 : x
  2. Step 2: Convert to fraction form
    394,423.71/591,209.03 = 157,506/x
  3. Step 3: Cross multiply
    394,423.71x = 591,209.03 × 157,506
  4. Step 4: Simplify right side
    394,423.71x = 93,118,968,691.65
  5. Step 5: Solve for x
    x = 93,118,968,691.65/394,423.71
  6. Step 6: Final answer
    x = 236,088.67

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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.