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Finding the Fourth Proportional to 389,178, 537,065.64 and 210,330

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Solution

The fourth proportional to 389,178, 537,065.64 and 210,330 is: 290,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,178 : 537,065.64 = 210,330 : x
  2. Step 2: Convert to fraction form
    389,178/537,065.64 = 210,330/x
  3. Step 3: Cross multiply
    389,178x = 537,065.64 × 210,330
  4. Step 4: Simplify right side
    389,178x = 112,961,016,061.20
  5. Step 5: Solve for x
    x = 112,961,016,061.20/389,178
  6. Step 6: Final answer
    x = 290,255.40

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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.