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Finding the Fourth Proportional to 514,424, 709,905.48 and 288,074.72

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Solution

The fourth proportional to 514,424, 709,905.48 and 288,074.72 is: 397,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,424 : 709,905.48 = 288,074.72 : x
  2. Step 2: Convert to fraction form
    514,424/709,905.48 = 288,074.72/x
  3. Step 3: Cross multiply
    514,424x = 709,905.48 × 288,074.72
  4. Step 4: Simplify right side
    514,424x = 204,505,822,377.47
  5. Step 5: Solve for x
    x = 204,505,822,377.47/514,424
  6. Step 6: Final answer
    x = 397,543.32

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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.