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Finding the Fourth Proportional to 405,306.52, 607,468.19 and 297,692.64

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Solution

The fourth proportional to 405,306.52, 607,468.19 and 297,692.64 is: 446,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,306.52 : 607,468.19 = 297,692.64 : x
  2. Step 2: Convert to fraction form
    405,306.52/607,468.19 = 297,692.64/x
  3. Step 3: Cross multiply
    405,306.52x = 607,468.19 × 297,692.64
  4. Step 4: Simplify right side
    405,306.52x = 180,838,809,197.12
  5. Step 5: Solve for x
    x = 180,838,809,197.12/405,306.52
  6. Step 6: Final answer
    x = 446,177.89

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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.