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Finding the Fourth Proportional to 389,164, 537,046.32 and 210,316

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Solution

The fourth proportional to 389,164, 537,046.32 and 210,316 is: 290,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,164 : 537,046.32 = 210,316 : x
  2. Step 2: Convert to fraction form
    389,164/537,046.32 = 210,316/x
  3. Step 3: Cross multiply
    389,164x = 537,046.32 × 210,316
  4. Step 4: Simplify right side
    389,164x = 112,949,433,837.12
  5. Step 5: Solve for x
    x = 112,949,433,837.12/389,164
  6. Step 6: Final answer
    x = 290,236.08

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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.