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Finding the Fourth Proportional to 520,043.10, 778,509.45 and 489,284.70

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Solution

The fourth proportional to 520,043.10, 778,509.45 and 489,284.70 is: 732,463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,043.10 : 778,509.45 = 489,284.70 : x
  2. Step 2: Convert to fraction form
    520,043.10/778,509.45 = 489,284.70/x
  3. Step 3: Cross multiply
    520,043.10x = 778,509.45 × 489,284.70
  4. Step 4: Simplify right side
    520,043.10x = 380,912,762,690.42
  5. Step 5: Solve for x
    x = 380,912,762,690.42/520,043.10
  6. Step 6: Final answer
    x = 732,463.83

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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.