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Finding the Fourth Proportional to 300,398.79, 415,000.56 and 197,277.64

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Solution

The fourth proportional to 300,398.79, 415,000.56 and 197,277.64 is: 272,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,398.79 : 415,000.56 = 197,277.64 : x
  2. Step 2: Convert to fraction form
    300,398.79/415,000.56 = 197,277.64/x
  3. Step 3: Cross multiply
    300,398.79x = 415,000.56 × 197,277.64
  4. Step 4: Simplify right side
    300,398.79x = 81,870,331,075.48
  5. Step 5: Solve for x
    x = 81,870,331,075.48/300,398.79
  6. Step 6: Final answer
    x = 272,538.82

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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.