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Finding the Fourth Proportional to 514,315.12, 709,750.20 and 287,964.40

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Solution

The fourth proportional to 514,315.12, 709,750.20 and 287,964.40 is: 397,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,315.12 : 709,750.20 = 287,964.40 : x
  2. Step 2: Convert to fraction form
    514,315.12/709,750.20 = 287,964.40/x
  3. Step 3: Cross multiply
    514,315.12x = 709,750.20 × 287,964.40
  4. Step 4: Simplify right side
    514,315.12x = 204,382,790,492.88
  5. Step 5: Solve for x
    x = 204,382,790,492.88/514,315.12
  6. Step 6: Final answer
    x = 397,388.26

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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.