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Finding the Fourth Proportional to 291,420.88, 402,167.57 and 162,367.92

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Solution

The fourth proportional to 291,420.88, 402,167.57 and 162,367.92 is: 224,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,420.88 : 402,167.57 = 162,367.92 : x
  2. Step 2: Convert to fraction form
    291,420.88/402,167.57 = 162,367.92/x
  3. Step 3: Cross multiply
    291,420.88x = 402,167.57 × 162,367.92
  4. Step 4: Simplify right side
    291,420.88x = 65,299,111,020.51
  5. Step 5: Solve for x
    x = 65,299,111,020.51/291,420.88
  6. Step 6: Final answer
    x = 224,071.49

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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.