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Finding the Fourth Proportional to 438,141.51, 657,293.36 and 138,697.47

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Solution

The fourth proportional to 438,141.51, 657,293.36 and 138,697.47 is: 208,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,141.51 : 657,293.36 = 138,697.47 : x
  2. Step 2: Convert to fraction form
    438,141.51/657,293.36 = 138,697.47/x
  3. Step 3: Cross multiply
    438,141.51x = 657,293.36 × 138,697.47
  4. Step 4: Simplify right side
    438,141.51x = 91,164,925,386.31
  5. Step 5: Solve for x
    x = 91,164,925,386.31/438,141.51
  6. Step 6: Final answer
    x = 208,071.87

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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.