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Finding the Fourth Proportional to 503,814.93, 695,328.16 and 288,950.38

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Solution

The fourth proportional to 503,814.93, 695,328.16 and 288,950.38 is: 398,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,814.93 : 695,328.16 = 288,950.38 : x
  2. Step 2: Convert to fraction form
    503,814.93/695,328.16 = 288,950.38/x
  3. Step 3: Cross multiply
    503,814.93x = 695,328.16 × 288,950.38
  4. Step 4: Simplify right side
    503,814.93x = 200,915,336,056.70
  5. Step 5: Solve for x
    x = 200,915,336,056.70/503,814.93
  6. Step 6: Final answer
    x = 398,787.98

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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.