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Finding the Fourth Proportional to 654,300.84, 902,982.69 and 399,700.02

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Solution

The fourth proportional to 654,300.84, 902,982.69 and 399,700.02 is: 551,615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,300.84 : 902,982.69 = 399,700.02 : x
  2. Step 2: Convert to fraction form
    654,300.84/902,982.69 = 399,700.02/x
  3. Step 3: Cross multiply
    654,300.84x = 902,982.69 × 399,700.02
  4. Step 4: Simplify right side
    654,300.84x = 360,922,199,252.65
  5. Step 5: Solve for x
    x = 360,922,199,252.65/654,300.84
  6. Step 6: Final answer
    x = 551,615.06

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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.