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Finding the Fourth Proportional to 405,005.80, 607,451.10 and 138,778.60

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Solution

The fourth proportional to 405,005.80, 607,451.10 and 138,778.60 is: 208,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,005.80 : 607,451.10 = 138,778.60 : x
  2. Step 2: Convert to fraction form
    405,005.80/607,451.10 = 138,778.60/x
  3. Step 3: Cross multiply
    405,005.80x = 607,451.10 × 138,778.60
  4. Step 4: Simplify right side
    405,005.80x = 84,301,213,226.46
  5. Step 5: Solve for x
    x = 84,301,213,226.46/405,005.80
  6. Step 6: Final answer
    x = 208,148.16

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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.