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Finding the Fourth Proportional to 520,134.65, 778,889.78 and 415,158.65

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Solution

The fourth proportional to 520,134.65, 778,889.78 and 415,158.65 is: 621,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,134.65 : 778,889.78 = 415,158.65 : x
  2. Step 2: Convert to fraction form
    520,134.65/778,889.78 = 415,158.65/x
  3. Step 3: Cross multiply
    520,134.65x = 778,889.78 × 415,158.65
  4. Step 4: Simplify right side
    520,134.65x = 323,362,827,487.80
  5. Step 5: Solve for x
    x = 323,362,827,487.80/520,134.65
  6. Step 6: Final answer
    x = 621,690.61

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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.