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Finding the Fourth Proportional to 507,572.30, 700,449.77 and 303,631.82

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Solution

The fourth proportional to 507,572.30, 700,449.77 and 303,631.82 is: 419,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,572.30 : 700,449.77 = 303,631.82 : x
  2. Step 2: Convert to fraction form
    507,572.30/700,449.77 = 303,631.82/x
  3. Step 3: Cross multiply
    507,572.30x = 700,449.77 × 303,631.82
  4. Step 4: Simplify right side
    507,572.30x = 212,678,838,367.20
  5. Step 5: Solve for x
    x = 212,678,838,367.20/507,572.30
  6. Step 6: Final answer
    x = 419,011.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.