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Finding the Fourth Proportional to 514,345.39, 771,236.84 and 408,409.84

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Solution

The fourth proportional to 514,345.39, 771,236.84 and 408,409.84 is: 612,391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,345.39 : 771,236.84 = 408,409.84 : x
  2. Step 2: Convert to fraction form
    514,345.39/771,236.84 = 408,409.84/x
  3. Step 3: Cross multiply
    514,345.39x = 771,236.84 × 408,409.84
  4. Step 4: Simplify right side
    514,345.39x = 314,980,714,426.51
  5. Step 5: Solve for x
    x = 314,980,714,426.51/514,345.39
  6. Step 6: Final answer
    x = 612,391.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.