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Finding the Fourth Proportional to 473,657.56, 653,628 and 258,805

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Solution

The fourth proportional to 473,657.56, 653,628 and 258,805 is: 357,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,657.56 : 653,628 = 258,805 : x
  2. Step 2: Convert to fraction form
    473,657.56/653,628 = 258,805/x
  3. Step 3: Cross multiply
    473,657.56x = 653,628 × 258,805
  4. Step 4: Simplify right side
    473,657.56x = 169,162,194,540
  5. Step 5: Solve for x
    x = 169,162,194,540/473,657.56
  6. Step 6: Final answer
    x = 357,140.28

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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.