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Finding the Fourth Proportional to 719,219.76, 992,489.64 and 413,080.80

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Solution

The fourth proportional to 719,219.76, 992,489.64 and 413,080.80 is: 570,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,219.76 : 992,489.64 = 413,080.80 : x
  2. Step 2: Convert to fraction form
    719,219.76/992,489.64 = 413,080.80/x
  3. Step 3: Cross multiply
    719,219.76x = 992,489.64 × 413,080.80
  4. Step 4: Simplify right side
    719,219.76x = 409,978,414,482.91
  5. Step 5: Solve for x
    x = 409,978,414,482.91/719,219.76
  6. Step 6: Final answer
    x = 570,032.19

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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.