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Finding the Fourth Proportional to 289,439.24, 399,621.20 and 180,709.29

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Solution

The fourth proportional to 289,439.24, 399,621.20 and 180,709.29 is: 249,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,439.24 : 399,621.20 = 180,709.29 : x
  2. Step 2: Convert to fraction form
    289,439.24/399,621.20 = 180,709.29/x
  3. Step 3: Cross multiply
    289,439.24x = 399,621.20 × 180,709.29
  4. Step 4: Simplify right side
    289,439.24x = 72,215,262,417.40
  5. Step 5: Solve for x
    x = 72,215,262,417.40/289,439.24
  6. Step 6: Final answer
    x = 249,500.60

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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.