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Finding the Fourth Proportional to 291,360.78, 402,077.52 and 164,077.38

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Solution

The fourth proportional to 291,360.78, 402,077.52 and 164,077.38 is: 226,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,360.78 : 402,077.52 = 164,077.38 : x
  2. Step 2: Convert to fraction form
    291,360.78/402,077.52 = 164,077.38/x
  3. Step 3: Cross multiply
    291,360.78x = 402,077.52 × 164,077.38
  4. Step 4: Simplify right side
    291,360.78x = 65,971,826,038.50
  5. Step 5: Solve for x
    x = 65,971,826,038.50/291,360.78
  6. Step 6: Final answer
    x = 226,426.58

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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.