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Finding the Fourth Proportional to 567,591.05, 783,281.77 and 309,465.89

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Solution

The fourth proportional to 567,591.05, 783,281.77 and 309,465.89 is: 427,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,591.05 : 783,281.77 = 309,465.89 : x
  2. Step 2: Convert to fraction form
    567,591.05/783,281.77 = 309,465.89/x
  3. Step 3: Cross multiply
    567,591.05x = 783,281.77 × 309,465.89
  4. Step 4: Simplify right side
    567,591.05x = 242,398,991,394.41
  5. Step 5: Solve for x
    x = 242,398,991,394.41/567,591.05
  6. Step 6: Final answer
    x = 427,066.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.