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Finding the Fourth Proportional to 438,346.88, 657,513.16 and 138,827

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Solution

The fourth proportional to 438,346.88, 657,513.16 and 138,827 is: 208,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,346.88 : 657,513.16 = 138,827 : x
  2. Step 2: Convert to fraction form
    438,346.88/657,513.16 = 138,827/x
  3. Step 3: Cross multiply
    438,346.88x = 657,513.16 × 138,827
  4. Step 4: Simplify right side
    438,346.88x = 91,280,579,463.32
  5. Step 5: Solve for x
    x = 91,280,579,463.32/438,346.88
  6. Step 6: Final answer
    x = 208,238.23

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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.