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Finding the Fourth Proportional to 343,055.82, 514,437.93 and 140,512.29

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Solution

The fourth proportional to 343,055.82, 514,437.93 and 140,512.29 is: 210,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,055.82 : 514,437.93 = 140,512.29 : x
  2. Step 2: Convert to fraction form
    343,055.82/514,437.93 = 140,512.29/x
  3. Step 3: Cross multiply
    343,055.82x = 514,437.93 × 140,512.29
  4. Step 4: Simplify right side
    343,055.82x = 72,284,851,607.16
  5. Step 5: Solve for x
    x = 72,284,851,607.16/343,055.82
  6. Step 6: Final answer
    x = 210,708.72

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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.