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Finding the Fourth Proportional to 514,634.70, 710,188.10 and 288,288.30

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Solution

The fourth proportional to 514,634.70, 710,188.10 and 288,288.30 is: 397,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,634.70 : 710,188.10 = 288,288.30 : x
  2. Step 2: Convert to fraction form
    514,634.70/710,188.10 = 288,288.30/x
  3. Step 3: Cross multiply
    514,634.70x = 710,188.10 × 288,288.30
  4. Step 4: Simplify right side
    514,634.70x = 204,738,920,029.23
  5. Step 5: Solve for x
    x = 204,738,920,029.23/514,634.70
  6. Step 6: Final answer
    x = 397,833.49

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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.