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Finding the Fourth Proportional to 802,133.12, 1,107,447.04 and 516,150.20

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Solution

The fourth proportional to 802,133.12, 1,107,447.04 and 516,150.20 is: 712,611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,133.12 : 1,107,447.04 = 516,150.20 : x
  2. Step 2: Convert to fraction form
    802,133.12/1,107,447.04 = 516,150.20/x
  3. Step 3: Cross multiply
    802,133.12x = 1,107,447.04 × 516,150.20
  4. Step 4: Simplify right side
    802,133.12x = 571,609,011,185.41
  5. Step 5: Solve for x
    x = 571,609,011,185.41/802,133.12
  6. Step 6: Final answer
    x = 712,611.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.