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Finding the Fourth Proportional to 301,726.40, 421,864 and 301,726.40

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Solution

The fourth proportional to 301,726.40, 421,864 and 301,726.40 is: 421,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,726.40 : 421,864 = 301,726.40 : x
  2. Step 2: Convert to fraction form
    301,726.40/421,864 = 301,726.40/x
  3. Step 3: Cross multiply
    301,726.40x = 421,864 × 301,726.40
  4. Step 4: Simplify right side
    301,726.40x = 127,287,506,009.60
  5. Step 5: Solve for x
    x = 127,287,506,009.60/301,726.40
  6. Step 6: Final answer
    x = 421,864

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.