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Finding the Fourth Proportional to 473,658.78, 653,629.88 and 258,806.28

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Solution

The fourth proportional to 473,658.78, 653,629.88 and 258,806.28 is: 357,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,658.78 : 653,629.88 = 258,806.28 : x
  2. Step 2: Convert to fraction form
    473,658.78/653,629.88 = 258,806.28/x
  3. Step 3: Cross multiply
    473,658.78x = 653,629.88 × 258,806.28
  4. Step 4: Simplify right side
    473,658.78x = 169,163,517,739.65
  5. Step 5: Solve for x
    x = 169,163,517,739.65/473,658.78
  6. Step 6: Final answer
    x = 357,142.16

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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.