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Finding the Fourth Proportional to 390,282.68, 538,583.10 and 220,513.16

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Solution

The fourth proportional to 390,282.68, 538,583.10 and 220,513.16 is: 304,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,282.68 : 538,583.10 = 220,513.16 : x
  2. Step 2: Convert to fraction form
    390,282.68/538,583.10 = 220,513.16/x
  3. Step 3: Cross multiply
    390,282.68x = 538,583.10 × 220,513.16
  4. Step 4: Simplify right side
    390,282.68x = 118,764,661,303.60
  5. Step 5: Solve for x
    x = 118,764,661,303.60/390,282.68
  6. Step 6: Final answer
    x = 304,304.21

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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.