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Finding the Fourth Proportional to 391,548, 540,336.24 and 212,700

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Solution

The fourth proportional to 391,548, 540,336.24 and 212,700 is: 293,526

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,548 : 540,336.24 = 212,700 : x
  2. Step 2: Convert to fraction form
    391,548/540,336.24 = 212,700/x
  3. Step 3: Cross multiply
    391,548x = 540,336.24 × 212,700
  4. Step 4: Simplify right side
    391,548x = 114,929,518,248
  5. Step 5: Solve for x
    x = 114,929,518,248/391,548
  6. Step 6: Final answer
    x = 293,526

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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.