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Finding the Fourth Proportional to 571,218.40, 856,008.40 and 420,280.80

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Solution

The fourth proportional to 571,218.40, 856,008.40 and 420,280.80 is: 629,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,218.40 : 856,008.40 = 420,280.80 : x
  2. Step 2: Convert to fraction form
    571,218.40/856,008.40 = 420,280.80/x
  3. Step 3: Cross multiply
    571,218.40x = 856,008.40 × 420,280.80
  4. Step 4: Simplify right side
    571,218.40x = 359,763,895,158.72
  5. Step 5: Solve for x
    x = 359,763,895,158.72/571,218.40
  6. Step 6: Final answer
    x = 629,818.46

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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.