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Finding the Fourth Proportional to 473,509, 653,461.92 and 272,305

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Solution

The fourth proportional to 473,509, 653,461.92 and 272,305 is: 375,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,509 : 653,461.92 = 272,305 : x
  2. Step 2: Convert to fraction form
    473,509/653,461.92 = 272,305/x
  3. Step 3: Cross multiply
    473,509x = 653,461.92 × 272,305
  4. Step 4: Simplify right side
    473,509x = 177,940,948,125.60
  5. Step 5: Solve for x
    x = 177,940,948,125.60/473,509
  6. Step 6: Final answer
    x = 375,792.11

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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.