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Finding the Fourth Proportional to 530,182.80, 731,651.94 and 288,465.12

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Solution

The fourth proportional to 530,182.80, 731,651.94 and 288,465.12 is: 398,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,182.80 : 731,651.94 = 288,465.12 : x
  2. Step 2: Convert to fraction form
    530,182.80/731,651.94 = 288,465.12/x
  3. Step 3: Cross multiply
    530,182.80x = 731,651.94 × 288,465.12
  4. Step 4: Simplify right side
    530,182.80x = 211,056,064,670.33
  5. Step 5: Solve for x
    x = 211,056,064,670.33/530,182.80
  6. Step 6: Final answer
    x = 398,081.69

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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.