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Finding the Fourth Proportional to 520,057.10, 778,530.45 and 489,298.70

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Solution

The fourth proportional to 520,057.10, 778,530.45 and 489,298.70 is: 732,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,057.10 : 778,530.45 = 489,298.70 : x
  2. Step 2: Convert to fraction form
    520,057.10/778,530.45 = 489,298.70/x
  3. Step 3: Cross multiply
    520,057.10x = 778,530.45 × 489,298.70
  4. Step 4: Simplify right side
    520,057.10x = 380,933,937,095.42
  5. Step 5: Solve for x
    x = 380,933,937,095.42/520,057.10
  6. Step 6: Final answer
    x = 732,484.83

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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.