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Finding the Fourth Proportional to 473,505, 653,456.40 and 272,301

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Solution

The fourth proportional to 473,505, 653,456.40 and 272,301 is: 375,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,505 : 653,456.40 = 272,301 : x
  2. Step 2: Convert to fraction form
    473,505/653,456.40 = 272,301/x
  3. Step 3: Cross multiply
    473,505x = 653,456.40 × 272,301
  4. Step 4: Simplify right side
    473,505x = 177,936,831,176.40
  5. Step 5: Solve for x
    x = 177,936,831,176.40/473,505
  6. Step 6: Final answer
    x = 375,786.59

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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.