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Finding the Fourth Proportional to 673,614.90, 929,690.73 and 419,048.10

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Solution

The fourth proportional to 673,614.90, 929,690.73 and 419,048.10 is: 578,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,614.90 : 929,690.73 = 419,048.10 : x
  2. Step 2: Convert to fraction form
    673,614.90/929,690.73 = 419,048.10/x
  3. Step 3: Cross multiply
    673,614.90x = 929,690.73 × 419,048.10
  4. Step 4: Simplify right side
    673,614.90x = 389,585,133,994.11
  5. Step 5: Solve for x
    x = 389,585,133,994.11/673,614.90
  6. Step 6: Final answer
    x = 578,349.94

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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.