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Finding the Fourth Proportional to 434,729.20, 609,726.80 and 434,729.20

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Solution

The fourth proportional to 434,729.20, 609,726.80 and 434,729.20 is: 609,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,729.20 : 609,726.80 = 434,729.20 : x
  2. Step 2: Convert to fraction form
    434,729.20/609,726.80 = 434,729.20/x
  3. Step 3: Cross multiply
    434,729.20x = 609,726.80 × 434,729.20
  4. Step 4: Simplify right side
    434,729.20x = 265,066,043,982.56
  5. Step 5: Solve for x
    x = 265,066,043,982.56/434,729.20
  6. Step 6: Final answer
    x = 609,726.80

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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.