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Finding the Fourth Proportional to 304,897.19, 420,904.38 and 214,330.79

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Solution

The fourth proportional to 304,897.19, 420,904.38 and 214,330.79 is: 295,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,897.19 : 420,904.38 = 214,330.79 : x
  2. Step 2: Convert to fraction form
    304,897.19/420,904.38 = 214,330.79/x
  3. Step 3: Cross multiply
    304,897.19x = 420,904.38 × 214,330.79
  4. Step 4: Simplify right side
    304,897.19x = 90,212,768,279.86
  5. Step 5: Solve for x
    x = 90,212,768,279.86/304,897.19
  6. Step 6: Final answer
    x = 295,879.30

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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.