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Finding the Fourth Proportional to 571,948, 857,900.46 and 172,578.16

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Solution

The fourth proportional to 571,948, 857,900.46 and 172,578.16 is: 258,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,948 : 857,900.46 = 172,578.16 : x
  2. Step 2: Convert to fraction form
    571,948/857,900.46 = 172,578.16/x
  3. Step 3: Cross multiply
    571,948x = 857,900.46 × 172,578.16
  4. Step 4: Simplify right side
    571,948x = 148,054,882,849.95
  5. Step 5: Solve for x
    x = 148,054,882,849.95/571,948
  6. Step 6: Final answer
    x = 258,860.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.