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Finding the Fourth Proportional to 340,476.93, 510,901.16 and 140,814.63

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Solution

The fourth proportional to 340,476.93, 510,901.16 and 140,814.63 is: 211,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,476.93 : 510,901.16 = 140,814.63 : x
  2. Step 2: Convert to fraction form
    340,476.93/510,901.16 = 140,814.63/x
  3. Step 3: Cross multiply
    340,476.93x = 510,901.16 × 140,814.63
  4. Step 4: Simplify right side
    340,476.93x = 71,942,357,107.90
  5. Step 5: Solve for x
    x = 71,942,357,107.90/340,476.93
  6. Step 6: Final answer
    x = 211,298.77

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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.