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Finding the Fourth Proportional to 343,159.84, 514,740.12 and 143,371.36

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Solution

The fourth proportional to 343,159.84, 514,740.12 and 143,371.36 is: 215,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,159.84 : 514,740.12 = 143,371.36 : x
  2. Step 2: Convert to fraction form
    343,159.84/514,740.12 = 143,371.36/x
  3. Step 3: Cross multiply
    343,159.84x = 514,740.12 × 143,371.36
  4. Step 4: Simplify right side
    343,159.84x = 73,798,991,050.96
  5. Step 5: Solve for x
    x = 73,798,991,050.96/343,159.84
  6. Step 6: Final answer
    x = 215,057.19

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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.