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Finding the Fourth Proportional to 291,506.25, 402,064.49 and 193,211.72

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Solution

The fourth proportional to 291,506.25, 402,064.49 and 193,211.72 is: 266,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,506.25 : 402,064.49 = 193,211.72 : x
  2. Step 2: Convert to fraction form
    291,506.25/402,064.49 = 193,211.72/x
  3. Step 3: Cross multiply
    291,506.25x = 402,064.49 × 193,211.72
  4. Step 4: Simplify right side
    291,506.25x = 77,683,571,663.82
  5. Step 5: Solve for x
    x = 77,683,571,663.82/291,506.25
  6. Step 6: Final answer
    x = 266,490.24

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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.