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Finding the Fourth Proportional to 530,687.57, 732,348.27 and 288,971.82

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Solution

The fourth proportional to 530,687.57, 732,348.27 and 288,971.82 is: 398,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,687.57 : 732,348.27 = 288,971.82 : x
  2. Step 2: Convert to fraction form
    530,687.57/732,348.27 = 288,971.82/x
  3. Step 3: Cross multiply
    530,687.57x = 732,348.27 × 288,971.82
  4. Step 4: Simplify right side
    530,687.57x = 211,628,012,455.75
  5. Step 5: Solve for x
    x = 211,628,012,455.75/530,687.57
  6. Step 6: Final answer
    x = 398,780.80

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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.