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Finding the Fourth Proportional to 719,580, 993,107.88 and 417,774

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Solution

The fourth proportional to 719,580, 993,107.88 and 417,774 is: 576,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,580 : 993,107.88 = 417,774 : x
  2. Step 2: Convert to fraction form
    719,580/993,107.88 = 417,774/x
  3. Step 3: Cross multiply
    719,580x = 993,107.88 × 417,774
  4. Step 4: Simplify right side
    719,580x = 414,894,651,459.12
  5. Step 5: Solve for x
    x = 414,894,651,459.12/719,580
  6. Step 6: Final answer
    x = 576,578.91

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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.