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Finding the Fourth Proportional to 512,146.88, 707,065.44 and 369,275.84

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Solution

The fourth proportional to 512,146.88, 707,065.44 and 369,275.84 is: 509,818.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,146.88 : 707,065.44 = 369,275.84 : x
  2. Step 2: Convert to fraction form
    512,146.88/707,065.44 = 369,275.84/x
  3. Step 3: Cross multiply
    512,146.88x = 707,065.44 × 369,275.84
  4. Step 4: Simplify right side
    512,146.88x = 261,102,184,290.97
  5. Step 5: Solve for x
    x = 261,102,184,290.97/512,146.88
  6. Step 6: Final answer
    x = 509,818.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.