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Finding the Fourth Proportional to 291,720, 402,573.96 and 157,584

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Solution

The fourth proportional to 291,720, 402,573.96 and 157,584 is: 217,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,720 : 402,573.96 = 157,584 : x
  2. Step 2: Convert to fraction form
    291,720/402,573.96 = 157,584/x
  3. Step 3: Cross multiply
    291,720x = 402,573.96 × 157,584
  4. Step 4: Simplify right side
    291,720x = 63,439,214,912.64
  5. Step 5: Solve for x
    x = 63,439,214,912.64/291,720
  6. Step 6: Final answer
    x = 217,466.11

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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.