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Finding the Fourth Proportional to 349,932, 524,975.76 and 128,316

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Solution

The fourth proportional to 349,932, 524,975.76 and 128,316 is: 192,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,932 : 524,975.76 = 128,316 : x
  2. Step 2: Convert to fraction form
    349,932/524,975.76 = 128,316/x
  3. Step 3: Cross multiply
    349,932x = 524,975.76 × 128,316
  4. Step 4: Simplify right side
    349,932x = 67,362,789,620.16
  5. Step 5: Solve for x
    x = 67,362,789,620.16/349,932
  6. Step 6: Final answer
    x = 192,502.51

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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.