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Finding the Fourth Proportional to 611,369.20, 917,053.80 and 471,401.20

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Solution

The fourth proportional to 611,369.20, 917,053.80 and 471,401.20 is: 707,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,369.20 : 917,053.80 = 471,401.20 : x
  2. Step 2: Convert to fraction form
    611,369.20/917,053.80 = 471,401.20/x
  3. Step 3: Cross multiply
    611,369.20x = 917,053.80 × 471,401.20
  4. Step 4: Simplify right side
    611,369.20x = 432,300,261,784.56
  5. Step 5: Solve for x
    x = 432,300,261,784.56/611,369.20
  6. Step 6: Final answer
    x = 707,101.80

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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.