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Finding the Fourth Proportional to 686,092.50, 946,807.65 and 417,820.50

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Solution

The fourth proportional to 686,092.50, 946,807.65 and 417,820.50 is: 576,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,092.50 : 946,807.65 = 417,820.50 : x
  2. Step 2: Convert to fraction form
    686,092.50/946,807.65 = 417,820.50/x
  3. Step 3: Cross multiply
    686,092.50x = 946,807.65 × 417,820.50
  4. Step 4: Simplify right side
    686,092.50x = 395,595,645,726.83
  5. Step 5: Solve for x
    x = 395,595,645,726.83/686,092.50
  6. Step 6: Final answer
    x = 576,592.29

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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.