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Finding the Fourth Proportional to 520,623.81, 780,044.49 and 284,132.57

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Solution

The fourth proportional to 520,623.81, 780,044.49 and 284,132.57 is: 425,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,623.81 : 780,044.49 = 284,132.57 : x
  2. Step 2: Convert to fraction form
    520,623.81/780,044.49 = 284,132.57/x
  3. Step 3: Cross multiply
    520,623.81x = 780,044.49 × 284,132.57
  4. Step 4: Simplify right side
    520,623.81x = 221,636,041,757.82
  5. Step 5: Solve for x
    x = 221,636,041,757.82/520,623.81
  6. Step 6: Final answer
    x = 425,712.46

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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.