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Finding the Fourth Proportional to 438,412.94, 657,637.64 and 138,886.89

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Solution

The fourth proportional to 438,412.94, 657,637.64 and 138,886.89 is: 208,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,412.94 : 657,637.64 = 138,886.89 : x
  2. Step 2: Convert to fraction form
    438,412.94/657,637.64 = 138,886.89/x
  3. Step 3: Cross multiply
    438,412.94x = 657,637.64 × 138,886.89
  4. Step 4: Simplify right side
    438,412.94x = 91,337,244,228.01
  5. Step 5: Solve for x
    x = 91,337,244,228.01/438,412.94
  6. Step 6: Final answer
    x = 208,336.10

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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.