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Finding the Fourth Proportional to 406,509.52, 561,246.40 and 261,380.50

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Solution

The fourth proportional to 406,509.52, 561,246.40 and 261,380.50 is: 360,874.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,509.52 : 561,246.40 = 261,380.50 : x
  2. Step 2: Convert to fraction form
    406,509.52/561,246.40 = 261,380.50/x
  3. Step 3: Cross multiply
    406,509.52x = 561,246.40 × 261,380.50
  4. Step 4: Simplify right side
    406,509.52x = 146,698,864,655.20
  5. Step 5: Solve for x
    x = 146,698,864,655.20/406,509.52
  6. Step 6: Final answer
    x = 360,874.36

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1.5x scale

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.