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Finding the Fourth Proportional to 529,782.48, 731,083.86 and 288,065.52

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Solution

The fourth proportional to 529,782.48, 731,083.86 and 288,065.52 is: 397,521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,782.48 : 731,083.86 = 288,065.52 : x
  2. Step 2: Convert to fraction form
    529,782.48/731,083.86 = 288,065.52/x
  3. Step 3: Cross multiply
    529,782.48x = 731,083.86 × 288,065.52
  4. Step 4: Simplify right side
    529,782.48x = 210,600,052,294.51
  5. Step 5: Solve for x
    x = 210,600,052,294.51/529,782.48
  6. Step 6: Final answer
    x = 397,521.74

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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.