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Finding the Fourth Proportional to 410,021.32, 615,030.06 and 129,538.12

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Solution

The fourth proportional to 410,021.32, 615,030.06 and 129,538.12 is: 194,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,021.32 : 615,030.06 = 129,538.12 : x
  2. Step 2: Convert to fraction form
    410,021.32/615,030.06 = 129,538.12/x
  3. Step 3: Cross multiply
    410,021.32x = 615,030.06 × 129,538.12
  4. Step 4: Simplify right side
    410,021.32x = 79,669,837,715.89
  5. Step 5: Solve for x
    x = 79,669,837,715.89/410,021.32
  6. Step 6: Final answer
    x = 194,306.57

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1.5x scale

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.