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Finding the Fourth Proportional to 270,488.20, 405,732.30 and 208,280.20

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Solution

The fourth proportional to 270,488.20, 405,732.30 and 208,280.20 is: 312,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,488.20 : 405,732.30 = 208,280.20 : x
  2. Step 2: Convert to fraction form
    270,488.20/405,732.30 = 208,280.20/x
  3. Step 3: Cross multiply
    270,488.20x = 405,732.30 × 208,280.20
  4. Step 4: Simplify right side
    270,488.20x = 84,506,004,590.46
  5. Step 5: Solve for x
    x = 84,506,004,590.46/270,488.20
  6. Step 6: Final answer
    x = 312,420.30

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1.5x scale

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.