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Finding the Fourth Proportional to 291,661, 402,492.20 and 157,525

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Solution

The fourth proportional to 291,661, 402,492.20 and 157,525 is: 217,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,661 : 402,492.20 = 157,525 : x
  2. Step 2: Convert to fraction form
    291,661/402,492.20 = 157,525/x
  3. Step 3: Cross multiply
    291,661x = 402,492.20 × 157,525
  4. Step 4: Simplify right side
    291,661x = 63,402,583,805
  5. Step 5: Solve for x
    x = 63,402,583,805/291,661
  6. Step 6: Final answer
    x = 217,384.51

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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.