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Finding the Fourth Proportional to 405,087.84, 607,224.96 and 138,666.24

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Solution

The fourth proportional to 405,087.84, 607,224.96 and 138,666.24 is: 207,860.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,087.84 : 607,224.96 = 138,666.24 : x
  2. Step 2: Convert to fraction form
    405,087.84/607,224.96 = 138,666.24/x
  3. Step 3: Cross multiply
    405,087.84x = 607,224.96 × 138,666.24
  4. Step 4: Simplify right side
    405,087.84x = 84,201,602,037.35
  5. Step 5: Solve for x
    x = 84,201,602,037.35/405,087.84
  6. Step 6: Final answer
    x = 207,860.11

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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.