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Finding the Fourth Proportional to 290,601.42, 435,488.10 and 214,098.28

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Solution

The fourth proportional to 290,601.42, 435,488.10 and 214,098.28 is: 320,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,601.42 : 435,488.10 = 214,098.28 : x
  2. Step 2: Convert to fraction form
    290,601.42/435,488.10 = 214,098.28/x
  3. Step 3: Cross multiply
    290,601.42x = 435,488.10 × 214,098.28
  4. Step 4: Simplify right side
    290,601.42x = 93,237,254,310.14
  5. Step 5: Solve for x
    x = 93,237,254,310.14/290,601.42
  6. Step 6: Final answer
    x = 320,842.39

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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.