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Finding the Fourth Proportional to 369,887.40, 510,445.36 and 206,543.10

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Solution

The fourth proportional to 369,887.40, 510,445.36 and 206,543.10 is: 285,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,887.40 : 510,445.36 = 206,543.10 : x
  2. Step 2: Convert to fraction form
    369,887.40/510,445.36 = 206,543.10/x
  3. Step 3: Cross multiply
    369,887.40x = 510,445.36 × 206,543.10
  4. Step 4: Simplify right side
    369,887.40x = 105,428,967,035.02
  5. Step 5: Solve for x
    x = 105,428,967,035.02/369,887.40
  6. Step 6: Final answer
    x = 285,029.90

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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.