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Finding the Fourth Proportional to 405,044.70, 607,653.17 and 138,733.71

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Solution

The fourth proportional to 405,044.70, 607,653.17 and 138,733.71 is: 208,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,044.70 : 607,653.17 = 138,733.71 : x
  2. Step 2: Convert to fraction form
    405,044.70/607,653.17 = 138,733.71/x
  3. Step 3: Cross multiply
    405,044.70x = 607,653.17 × 138,733.71
  4. Step 4: Simplify right side
    405,044.70x = 84,301,978,667.36
  5. Step 5: Solve for x
    x = 84,301,978,667.36/405,044.70
  6. Step 6: Final answer
    x = 208,130.06

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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.