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Finding the Fourth Proportional to 233,415.40, 349,662.30 and 139,642.60

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Solution

The fourth proportional to 233,415.40, 349,662.30 and 139,642.60 is: 209,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,415.40 : 349,662.30 = 139,642.60 : x
  2. Step 2: Convert to fraction form
    233,415.40/349,662.30 = 139,642.60/x
  3. Step 3: Cross multiply
    233,415.40x = 349,662.30 × 139,642.60
  4. Step 4: Simplify right side
    233,415.40x = 48,827,752,693.98
  5. Step 5: Solve for x
    x = 48,827,752,693.98/233,415.40
  6. Step 6: Final answer
    x = 209,188.22

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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.