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Finding the Fourth Proportional to 673,616.90, 929,693.49 and 419,050.10

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Solution

The fourth proportional to 673,616.90, 929,693.49 and 419,050.10 is: 578,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,616.90 : 929,693.49 = 419,050.10 : x
  2. Step 2: Convert to fraction form
    673,616.90/929,693.49 = 419,050.10/x
  3. Step 3: Cross multiply
    673,616.90x = 929,693.49 × 419,050.10
  4. Step 4: Simplify right side
    673,616.90x = 389,588,149,953.85
  5. Step 5: Solve for x
    x = 389,588,149,953.85/673,616.90
  6. Step 6: Final answer
    x = 578,352.70

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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.