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Finding the Fourth Proportional to 365,565.85, 503,359.37 and 319,988.77

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Solution

The fourth proportional to 365,565.85, 503,359.37 and 319,988.77 is: 440,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,565.85 : 503,359.37 = 319,988.77 : x
  2. Step 2: Convert to fraction form
    365,565.85/503,359.37 = 319,988.77/x
  3. Step 3: Cross multiply
    365,565.85x = 503,359.37 × 319,988.77
  4. Step 4: Simplify right side
    365,565.85x = 161,069,345,674.28
  5. Step 5: Solve for x
    x = 161,069,345,674.28/365,565.85
  6. Step 6: Final answer
    x = 440,602.82

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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.