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Finding the Fourth Proportional to 340,307.12, 510,474.76 and 100,421.03

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Solution

The fourth proportional to 340,307.12, 510,474.76 and 100,421.03 is: 150,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,307.12 : 510,474.76 = 100,421.03 : x
  2. Step 2: Convert to fraction form
    340,307.12/510,474.76 = 100,421.03/x
  3. Step 3: Cross multiply
    340,307.12x = 510,474.76 × 100,421.03
  4. Step 4: Simplify right side
    340,307.12x = 51,262,398,384.78
  5. Step 5: Solve for x
    x = 51,262,398,384.78/340,307.12
  6. Step 6: Final answer
    x = 150,635.69

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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.