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Finding the Fourth Proportional to 514,398.70, 709,862.43 and 288,052.30

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Solution

The fourth proportional to 514,398.70, 709,862.43 and 288,052.30 is: 397,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,398.70 : 709,862.43 = 288,052.30 : x
  2. Step 2: Convert to fraction form
    514,398.70/709,862.43 = 288,052.30/x
  3. Step 3: Cross multiply
    514,398.70x = 709,862.43 × 288,052.30
  4. Step 4: Simplify right side
    514,398.70x = 204,477,505,645.09
  5. Step 5: Solve for x
    x = 204,477,505,645.09/514,398.70
  6. Step 6: Final answer
    x = 397,507.82

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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.