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Finding the Fourth Proportional to 405,048.39, 607,658.64 and 138,737.40

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Solution

The fourth proportional to 405,048.39, 607,658.64 and 138,737.40 is: 208,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,048.39 : 607,658.64 = 138,737.40 : x
  2. Step 2: Convert to fraction form
    405,048.39/607,658.64 = 138,737.40/x
  3. Step 3: Cross multiply
    405,048.39x = 607,658.64 × 138,737.40
  4. Step 4: Simplify right side
    405,048.39x = 84,304,979,801.14
  5. Step 5: Solve for x
    x = 84,304,979,801.14/405,048.39
  6. Step 6: Final answer
    x = 208,135.58

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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.