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Finding the Fourth Proportional to 384,860.84, 531,106.62 and 215,094.96

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Solution

The fourth proportional to 384,860.84, 531,106.62 and 215,094.96 is: 296,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,860.84 : 531,106.62 = 215,094.96 : x
  2. Step 2: Convert to fraction form
    384,860.84/531,106.62 = 215,094.96/x
  3. Step 3: Cross multiply
    384,860.84x = 531,106.62 × 215,094.96
  4. Step 4: Simplify right side
    384,860.84x = 114,238,357,722.37
  5. Step 5: Solve for x
    x = 114,238,357,722.37/384,860.84
  6. Step 6: Final answer
    x = 296,830.30

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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.