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Finding the Fourth Proportional to 253,419.84, 349,731.60 and 146,006.40

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Solution

The fourth proportional to 253,419.84, 349,731.60 and 146,006.40 is: 201,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,419.84 : 349,731.60 = 146,006.40 : x
  2. Step 2: Convert to fraction form
    253,419.84/349,731.60 = 146,006.40/x
  3. Step 3: Cross multiply
    253,419.84x = 349,731.60 × 146,006.40
  4. Step 4: Simplify right side
    253,419.84x = 51,063,051,882.24
  5. Step 5: Solve for x
    x = 51,063,051,882.24/253,419.84
  6. Step 6: Final answer
    x = 201,495.87

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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.