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Finding the Fourth Proportional to 340,496.15, 510,742.80 and 103,838.13

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Solution

The fourth proportional to 340,496.15, 510,742.80 and 103,838.13 is: 155,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,496.15 : 510,742.80 = 103,838.13 : x
  2. Step 2: Convert to fraction form
    340,496.15/510,742.80 = 103,838.13/x
  3. Step 3: Cross multiply
    340,496.15x = 510,742.80 × 103,838.13
  4. Step 4: Simplify right side
    340,496.15x = 53,034,577,262.96
  5. Step 5: Solve for x
    x = 53,034,577,262.96/340,496.15
  6. Step 6: Final answer
    x = 155,756.76

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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.