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Finding the Fourth Proportional to 253,390.52, 349,681.38 and 140,213

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Solution

The fourth proportional to 253,390.52, 349,681.38 and 140,213 is: 193,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,390.52 : 349,681.38 = 140,213 : x
  2. Step 2: Convert to fraction form
    253,390.52/349,681.38 = 140,213/x
  3. Step 3: Cross multiply
    253,390.52x = 349,681.38 × 140,213
  4. Step 4: Simplify right side
    253,390.52x = 49,029,875,333.94
  5. Step 5: Solve for x
    x = 49,029,875,333.94/253,390.52
  6. Step 6: Final answer
    x = 193,495.30

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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.