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Finding the Fourth Proportional to 349,928, 524,969.76 and 128,312

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Solution

The fourth proportional to 349,928, 524,969.76 and 128,312 is: 192,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,928 : 524,969.76 = 128,312 : x
  2. Step 2: Convert to fraction form
    349,928/524,969.76 = 128,312/x
  3. Step 3: Cross multiply
    349,928x = 524,969.76 × 128,312
  4. Step 4: Simplify right side
    349,928x = 67,359,919,845.12
  5. Step 5: Solve for x
    x = 67,359,919,845.12/349,928
  6. Step 6: Final answer
    x = 192,496.51

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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.