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Finding the Fourth Proportional to 389,343, 537,293.46 and 210,495

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Solution

The fourth proportional to 389,343, 537,293.46 and 210,495 is: 290,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,343 : 537,293.46 = 210,495 : x
  2. Step 2: Convert to fraction form
    389,343/537,293.46 = 210,495/x
  3. Step 3: Cross multiply
    389,343x = 537,293.46 × 210,495
  4. Step 4: Simplify right side
    389,343x = 113,097,586,862.70
  5. Step 5: Solve for x
    x = 113,097,586,862.70/389,343
  6. Step 6: Final answer
    x = 290,483.16

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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.