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Finding the Fourth Proportional to 340,419.69, 510,684.98 and 100,557.93

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Solution

The fourth proportional to 340,419.69, 510,684.98 and 100,557.93 is: 150,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,419.69 : 510,684.98 = 100,557.93 : x
  2. Step 2: Convert to fraction form
    340,419.69/510,684.98 = 100,557.93/x
  3. Step 3: Cross multiply
    340,419.69x = 510,684.98 × 100,557.93
  4. Step 4: Simplify right side
    340,419.69x = 51,353,423,968.10
  5. Step 5: Solve for x
    x = 51,353,423,968.10/340,419.69
  6. Step 6: Final answer
    x = 150,853.27

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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.