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Finding the Fourth Proportional to 253,234.32, 349,457.40 and 140,054.64

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Solution

The fourth proportional to 253,234.32, 349,457.40 and 140,054.64 is: 193,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,234.32 : 349,457.40 = 140,054.64 : x
  2. Step 2: Convert to fraction form
    253,234.32/349,457.40 = 140,054.64/x
  3. Step 3: Cross multiply
    253,234.32x = 349,457.40 × 140,054.64
  4. Step 4: Simplify right side
    253,234.32x = 48,943,130,352.34
  5. Step 5: Solve for x
    x = 48,943,130,352.34/253,234.32
  6. Step 6: Final answer
    x = 193,272.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.