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Finding the Fourth Proportional to 438,420.88, 657,242.52 and 213,655.60

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Solution

The fourth proportional to 438,420.88, 657,242.52 and 213,655.60 is: 320,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,420.88 : 657,242.52 = 213,655.60 : x
  2. Step 2: Convert to fraction form
    438,420.88/657,242.52 = 213,655.60/x
  3. Step 3: Cross multiply
    438,420.88x = 657,242.52 × 213,655.60
  4. Step 4: Simplify right side
    438,420.88x = 140,423,544,956.11
  5. Step 5: Solve for x
    x = 140,423,544,956.11/438,420.88
  6. Step 6: Final answer
    x = 320,293.93

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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.