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Finding the Fourth Proportional to 340,308.95, 510,463.55 and 140,409.72

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Solution

The fourth proportional to 340,308.95, 510,463.55 and 140,409.72 is: 210,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,308.95 : 510,463.55 = 140,409.72 : x
  2. Step 2: Convert to fraction form
    340,308.95/510,463.55 = 140,409.72/x
  3. Step 3: Cross multiply
    340,308.95x = 510,463.55 × 140,409.72
  4. Step 4: Simplify right side
    340,308.95x = 71,674,044,476.73
  5. Step 5: Solve for x
    x = 71,674,044,476.73/340,308.95
  6. Step 6: Final answer
    x = 210,614.64

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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.