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Finding the Fourth Proportional to 359,935.86, 496,807.56 and 206,990.76

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Solution

The fourth proportional to 359,935.86, 496,807.56 and 206,990.76 is: 285,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,935.86 : 496,807.56 = 206,990.76 : x
  2. Step 2: Convert to fraction form
    359,935.86/496,807.56 = 206,990.76/x
  3. Step 3: Cross multiply
    359,935.86x = 496,807.56 × 206,990.76
  4. Step 4: Simplify right side
    359,935.86x = 102,834,574,418.15
  5. Step 5: Solve for x
    x = 102,834,574,418.15/359,935.86
  6. Step 6: Final answer
    x = 285,702.50

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1.5x scale

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.