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Finding the Fourth Proportional to 389,313, 537,252.48 and 210,465

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Solution

The fourth proportional to 389,313, 537,252.48 and 210,465 is: 290,441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,313 : 537,252.48 = 210,465 : x
  2. Step 2: Convert to fraction form
    389,313/537,252.48 = 210,465/x
  3. Step 3: Cross multiply
    389,313x = 537,252.48 × 210,465
  4. Step 4: Simplify right side
    389,313x = 113,072,843,203.20
  5. Step 5: Solve for x
    x = 113,072,843,203.20/389,313
  6. Step 6: Final answer
    x = 290,441.99

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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.