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Finding the Fourth Proportional to 520,830.60, 781,764.30 and 254,891.40

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Solution

The fourth proportional to 520,830.60, 781,764.30 and 254,891.40 is: 382,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,830.60 : 781,764.30 = 254,891.40 : x
  2. Step 2: Convert to fraction form
    520,830.60/781,764.30 = 254,891.40/x
  3. Step 3: Cross multiply
    520,830.60x = 781,764.30 × 254,891.40
  4. Step 4: Simplify right side
    520,830.60x = 199,264,996,897.02
  5. Step 5: Solve for x
    x = 199,264,996,897.02/520,830.60
  6. Step 6: Final answer
    x = 382,590.80

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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.