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Finding the Fourth Proportional to 519,775.40, 779,690.72 and 164,817.40

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Solution

The fourth proportional to 519,775.40, 779,690.72 and 164,817.40 is: 247,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,775.40 : 779,690.72 = 164,817.40 : x
  2. Step 2: Convert to fraction form
    519,775.40/779,690.72 = 164,817.40/x
  3. Step 3: Cross multiply
    519,775.40x = 779,690.72 × 164,817.40
  4. Step 4: Simplify right side
    519,775.40x = 128,506,597,274.53
  5. Step 5: Solve for x
    x = 128,506,597,274.53/519,775.40
  6. Step 6: Final answer
    x = 247,234.86

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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.