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Finding the Fourth Proportional to 304,820.16, 457,221.60 and 105,136.80

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Solution

The fourth proportional to 304,820.16, 457,221.60 and 105,136.80 is: 157,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,820.16 : 457,221.60 = 105,136.80 : x
  2. Step 2: Convert to fraction form
    304,820.16/457,221.60 = 105,136.80/x
  3. Step 3: Cross multiply
    304,820.16x = 457,221.60 × 105,136.80
  4. Step 4: Simplify right side
    304,820.16x = 48,070,815,914.88
  5. Step 5: Solve for x
    x = 48,070,815,914.88/304,820.16
  6. Step 6: Final answer
    x = 157,702.22

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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.