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Finding the Fourth Proportional to 405,148.80, 607,665.60 and 138,921.60

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Solution

The fourth proportional to 405,148.80, 607,665.60 and 138,921.60 is: 208,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,148.80 : 607,665.60 = 138,921.60 : x
  2. Step 2: Convert to fraction form
    405,148.80/607,665.60 = 138,921.60/x
  3. Step 3: Cross multiply
    405,148.80x = 607,665.60 × 138,921.60
  4. Step 4: Simplify right side
    405,148.80x = 84,417,877,416.96
  5. Step 5: Solve for x
    x = 84,417,877,416.96/405,148.80
  6. Step 6: Final answer
    x = 208,362.65

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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.