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Finding the Fourth Proportional to 648,952.92, 973,678.67 and 457,011.55

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Solution

The fourth proportional to 648,952.92, 973,678.67 and 457,011.55 is: 685,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,952.92 : 973,678.67 = 457,011.55 : x
  2. Step 2: Convert to fraction form
    648,952.92/973,678.67 = 457,011.55/x
  3. Step 3: Cross multiply
    648,952.92x = 973,678.67 × 457,011.55
  4. Step 4: Simplify right side
    648,952.92x = 444,982,398,178.64
  5. Step 5: Solve for x
    x = 444,982,398,178.64/648,952.92
  6. Step 6: Final answer
    x = 685,692.88

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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.