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Finding the Fourth Proportional to 438,257.66, 657,485.04 and 138,756.20

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Solution

The fourth proportional to 438,257.66, 657,485.04 and 138,756.20 is: 208,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,257.66 : 657,485.04 = 138,756.20 : x
  2. Step 2: Convert to fraction form
    438,257.66/657,485.04 = 138,756.20/x
  3. Step 3: Cross multiply
    438,257.66x = 657,485.04 × 138,756.20
  4. Step 4: Simplify right side
    438,257.66x = 91,230,125,707.25
  5. Step 5: Solve for x
    x = 91,230,125,707.25/438,257.66
  6. Step 6: Final answer
    x = 208,165.50

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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.