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Finding the Fourth Proportional to 586,443.90, 809,206.52 and 328,307.42

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Solution

The fourth proportional to 586,443.90, 809,206.52 and 328,307.42 is: 453,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,443.90 : 809,206.52 = 328,307.42 : x
  2. Step 2: Convert to fraction form
    586,443.90/809,206.52 = 328,307.42/x
  3. Step 3: Cross multiply
    586,443.90x = 809,206.52 × 328,307.42
  4. Step 4: Simplify right side
    586,443.90x = 265,668,504,828.38
  5. Step 5: Solve for x
    x = 265,668,504,828.38/586,443.90
  6. Step 6: Final answer
    x = 453,016.06

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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.