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Finding the Fourth Proportional to 438,420.70, 657,803.85 and 172,135.90

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Solution

The fourth proportional to 438,420.70, 657,803.85 and 172,135.90 is: 258,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,420.70 : 657,803.85 = 172,135.90 : x
  2. Step 2: Convert to fraction form
    438,420.70/657,803.85 = 172,135.90/x
  3. Step 3: Cross multiply
    438,420.70x = 657,803.85 × 172,135.90
  4. Step 4: Simplify right side
    438,420.70x = 113,231,657,743.22
  5. Step 5: Solve for x
    x = 113,231,657,743.22/438,420.70
  6. Step 6: Final answer
    x = 258,271.70

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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.