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Finding the Fourth Proportional to 500,830.82, 691,070.09 and 282,960

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Solution

The fourth proportional to 500,830.82, 691,070.09 and 282,960 is: 390,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,830.82 : 691,070.09 = 282,960 : x
  2. Step 2: Convert to fraction form
    500,830.82/691,070.09 = 282,960/x
  3. Step 3: Cross multiply
    500,830.82x = 691,070.09 × 282,960
  4. Step 4: Simplify right side
    500,830.82x = 195,545,192,666.40
  5. Step 5: Solve for x
    x = 195,545,192,666.40/500,830.82
  6. Step 6: Final answer
    x = 390,441.61

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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.