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Finding the Fourth Proportional to 571,878.16, 857,823.40 and 172,522.40

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Solution

The fourth proportional to 571,878.16, 857,823.40 and 172,522.40 is: 258,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,878.16 : 857,823.40 = 172,522.40 : x
  2. Step 2: Convert to fraction form
    571,878.16/857,823.40 = 172,522.40/x
  3. Step 3: Cross multiply
    571,878.16x = 857,823.40 × 172,522.40
  4. Step 4: Simplify right side
    571,878.16x = 147,993,751,744.16
  5. Step 5: Solve for x
    x = 147,993,751,744.16/571,878.16
  6. Step 6: Final answer
    x = 258,785.46

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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.