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Finding the Fourth Proportional to 243,053.60, 365,271.60 and 212,640.80

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Solution

The fourth proportional to 243,053.60, 365,271.60 and 212,640.80 is: 319,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,053.60 : 365,271.60 = 212,640.80 : x
  2. Step 2: Convert to fraction form
    243,053.60/365,271.60 = 212,640.80/x
  3. Step 3: Cross multiply
    243,053.60x = 365,271.60 × 212,640.80
  4. Step 4: Simplify right side
    243,053.60x = 77,671,645,241.28
  5. Step 5: Solve for x
    x = 77,671,645,241.28/243,053.60
  6. Step 6: Final answer
    x = 319,565.91

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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.