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Finding the Fourth Proportional to 522,374.40, 783,820.80 and 206,841.60

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Solution

The fourth proportional to 522,374.40, 783,820.80 and 206,841.60 is: 310,365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,374.40 : 783,820.80 = 206,841.60 : x
  2. Step 2: Convert to fraction form
    522,374.40/783,820.80 = 206,841.60/x
  3. Step 3: Cross multiply
    522,374.40x = 783,820.80 × 206,841.60
  4. Step 4: Simplify right side
    522,374.40x = 162,126,748,385.28
  5. Step 5: Solve for x
    x = 162,126,748,385.28/522,374.40
  6. Step 6: Final answer
    x = 310,365.03

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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.