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Finding the Fourth Proportional to 520,673.36, 780,118.40 and 284,182

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Solution

The fourth proportional to 520,673.36, 780,118.40 and 284,182 is: 425,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,673.36 : 780,118.40 = 284,182 : x
  2. Step 2: Convert to fraction form
    520,673.36/780,118.40 = 284,182/x
  3. Step 3: Cross multiply
    520,673.36x = 780,118.40 × 284,182
  4. Step 4: Simplify right side
    520,673.36x = 221,695,607,148.80
  5. Step 5: Solve for x
    x = 221,695,607,148.80/520,673.36
  6. Step 6: Final answer
    x = 425,786.35

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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.