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Finding the Fourth Proportional to 571,285.60, 857,002.94 and 211,407.48

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Solution

The fourth proportional to 571,285.60, 857,002.94 and 211,407.48 is: 317,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,285.60 : 857,002.94 = 211,407.48 : x
  2. Step 2: Convert to fraction form
    571,285.60/857,002.94 = 211,407.48/x
  3. Step 3: Cross multiply
    571,285.60x = 857,002.94 × 211,407.48
  4. Step 4: Simplify right side
    571,285.60x = 181,176,831,897.99
  5. Step 5: Solve for x
    x = 181,176,831,897.99/571,285.60
  6. Step 6: Final answer
    x = 317,138.80

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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.