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Finding the Fourth Proportional to 437,981.80, 657,231.90 and 288,653.80

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Solution

The fourth proportional to 437,981.80, 657,231.90 and 288,653.80 is: 433,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,981.80 : 657,231.90 = 288,653.80 : x
  2. Step 2: Convert to fraction form
    437,981.80/657,231.90 = 288,653.80/x
  3. Step 3: Cross multiply
    437,981.80x = 657,231.90 × 288,653.80
  4. Step 4: Simplify right side
    437,981.80x = 189,712,485,416.22
  5. Step 5: Solve for x
    x = 189,712,485,416.22/437,981.80
  6. Step 6: Final answer
    x = 433,151.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.