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Finding the Fourth Proportional to 519,291.95, 778,865.03 and 164,341.85

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Solution

The fourth proportional to 519,291.95, 778,865.03 and 164,341.85 is: 246,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,291.95 : 778,865.03 = 164,341.85 : x
  2. Step 2: Convert to fraction form
    519,291.95/778,865.03 = 164,341.85/x
  3. Step 3: Cross multiply
    519,291.95x = 778,865.03 × 164,341.85
  4. Step 4: Simplify right side
    519,291.95x = 128,000,119,108.80
  5. Step 5: Solve for x
    x = 128,000,119,108.80/519,291.95
  6. Step 6: Final answer
    x = 246,489.70

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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.