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Finding the Fourth Proportional to 386,271.84, 532,859.76 and 285,494.88

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Solution

The fourth proportional to 386,271.84, 532,859.76 and 285,494.88 is: 393,838.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,271.84 : 532,859.76 = 285,494.88 : x
  2. Step 2: Convert to fraction form
    386,271.84/532,859.76 = 285,494.88/x
  3. Step 3: Cross multiply
    386,271.84x = 532,859.76 × 285,494.88
  4. Step 4: Simplify right side
    386,271.84x = 152,128,733,238.03
  5. Step 5: Solve for x
    x = 152,128,733,238.03/386,271.84
  6. Step 6: Final answer
    x = 393,838.53

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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.