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Finding the Fourth Proportional to 291,996, 402,955.02 and 157,860

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Solution

The fourth proportional to 291,996, 402,955.02 and 157,860 is: 217,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,996 : 402,955.02 = 157,860 : x
  2. Step 2: Convert to fraction form
    291,996/402,955.02 = 157,860/x
  3. Step 3: Cross multiply
    291,996x = 402,955.02 × 157,860
  4. Step 4: Simplify right side
    291,996x = 63,610,479,457.20
  5. Step 5: Solve for x
    x = 63,610,479,457.20/291,996
  6. Step 6: Final answer
    x = 217,847.09

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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.