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Finding the Fourth Proportional to 571,434.92, 857,021.21 and 340,689.20

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Solution

The fourth proportional to 571,434.92, 857,021.21 and 340,689.20 is: 510,955.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,434.92 : 857,021.21 = 340,689.20 : x
  2. Step 2: Convert to fraction form
    571,434.92/857,021.21 = 340,689.20/x
  3. Step 3: Cross multiply
    571,434.92x = 857,021.21 × 340,689.20
  4. Step 4: Simplify right side
    571,434.92x = 291,977,864,429.38
  5. Step 5: Solve for x
    x = 291,977,864,429.38/571,434.92
  6. Step 6: Final answer
    x = 510,955.58

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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.