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Finding the Fourth Proportional to 389,818.32, 537,949.80 and 210,970.32

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Solution

The fourth proportional to 389,818.32, 537,949.80 and 210,970.32 is: 291,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,818.32 : 537,949.80 = 210,970.32 : x
  2. Step 2: Convert to fraction form
    389,818.32/537,949.80 = 210,970.32/x
  3. Step 3: Cross multiply
    389,818.32x = 537,949.80 × 210,970.32
  4. Step 4: Simplify right side
    389,818.32x = 113,491,441,449.94
  5. Step 5: Solve for x
    x = 113,491,441,449.94/389,818.32
  6. Step 6: Final answer
    x = 291,139.32

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1.5x scale

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.