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Finding the Fourth Proportional to 519,897.60, 778,291.20 and 489,139.20

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Solution

The fourth proportional to 519,897.60, 778,291.20 and 489,139.20 is: 732,245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,897.60 : 778,291.20 = 489,139.20 : x
  2. Step 2: Convert to fraction form
    519,897.60/778,291.20 = 489,139.20/x
  3. Step 3: Cross multiply
    519,897.60x = 778,291.20 × 489,139.20
  4. Step 4: Simplify right side
    519,897.60x = 380,692,734,935.04
  5. Step 5: Solve for x
    x = 380,692,734,935.04/519,897.60
  6. Step 6: Final answer
    x = 732,245.61

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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.