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Finding the Fourth Proportional to 473,647.44, 653,642.88 and 258,800.78

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Solution

The fourth proportional to 473,647.44, 653,642.88 and 258,800.78 is: 357,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,647.44 : 653,642.88 = 258,800.78 : x
  2. Step 2: Convert to fraction form
    473,647.44/653,642.88 = 258,800.78/x
  3. Step 3: Cross multiply
    473,647.44x = 653,642.88 × 258,800.78
  4. Step 4: Simplify right side
    473,647.44x = 169,163,287,185.45
  5. Step 5: Solve for x
    x = 169,163,287,185.45/473,647.44
  6. Step 6: Final answer
    x = 357,150.22

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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.