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Finding the Fourth Proportional to 304,590, 420,275.88 and 197,145.12

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Solution

The fourth proportional to 304,590, 420,275.88 and 197,145.12 is: 272,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,590 : 420,275.88 = 197,145.12 : x
  2. Step 2: Convert to fraction form
    304,590/420,275.88 = 197,145.12/x
  3. Step 3: Cross multiply
    304,590x = 420,275.88 × 197,145.12
  4. Step 4: Simplify right side
    304,590x = 82,855,338,795.71
  5. Step 5: Solve for x
    x = 82,855,338,795.71/304,590
  6. Step 6: Final answer
    x = 272,022.52

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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.