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Finding the Fourth Proportional to 401,638.32, 602,088.84 and 138,798

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Solution

The fourth proportional to 401,638.32, 602,088.84 and 138,798 is: 208,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,638.32 : 602,088.84 = 138,798 : x
  2. Step 2: Convert to fraction form
    401,638.32/602,088.84 = 138,798/x
  3. Step 3: Cross multiply
    401,638.32x = 602,088.84 × 138,798
  4. Step 4: Simplify right side
    401,638.32x = 83,568,726,814.32
  5. Step 5: Solve for x
    x = 83,568,726,814.32/401,638.32
  6. Step 6: Final answer
    x = 208,069.61

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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.