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Finding the Fourth Proportional to 821,460.60, 1,230,866.10 and 465,415.80

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Solution

The fourth proportional to 821,460.60, 1,230,866.10 and 465,415.80 is: 697,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,460.60 : 1,230,866.10 = 465,415.80 : x
  2. Step 2: Convert to fraction form
    821,460.60/1,230,866.10 = 465,415.80/x
  3. Step 3: Cross multiply
    821,460.60x = 1,230,866.10 × 465,415.80
  4. Step 4: Simplify right side
    821,460.60x = 572,864,530,624.38
  5. Step 5: Solve for x
    x = 572,864,530,624.38/821,460.60
  6. Step 6: Final answer
    x = 697,373.11

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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.