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Finding the Fourth Proportional to 571,705.76, 857,479.20 and 400,408.64

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Solution

The fourth proportional to 571,705.76, 857,479.20 and 400,408.64 is: 600,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,705.76 : 857,479.20 = 400,408.64 : x
  2. Step 2: Convert to fraction form
    571,705.76/857,479.20 = 400,408.64/x
  3. Step 3: Cross multiply
    571,705.76x = 857,479.20 × 400,408.64
  4. Step 4: Simplify right side
    571,705.76x = 343,342,080,300.29
  5. Step 5: Solve for x
    x = 343,342,080,300.29/571,705.76
  6. Step 6: Final answer
    x = 600,557.32

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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.