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Finding the Fourth Proportional to 530,395.56, 731,945.81 and 288,679.86

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Solution

The fourth proportional to 530,395.56, 731,945.81 and 288,679.86 is: 398,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,395.56 : 731,945.81 = 288,679.86 : x
  2. Step 2: Convert to fraction form
    530,395.56/731,945.81 = 288,679.86/x
  3. Step 3: Cross multiply
    530,395.56x = 731,945.81 × 288,679.86
  4. Step 4: Simplify right side
    530,395.56x = 211,298,014,680.09
  5. Step 5: Solve for x
    x = 211,298,014,680.09/530,395.56
  6. Step 6: Final answer
    x = 398,378.17

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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.