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Finding the Fourth Proportional to 390,420.80, 585,825.60 and 222,070.40

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Solution

The fourth proportional to 390,420.80, 585,825.60 and 222,070.40 is: 333,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,420.80 : 585,825.60 = 222,070.40 : x
  2. Step 2: Convert to fraction form
    390,420.80/585,825.60 = 222,070.40/x
  3. Step 3: Cross multiply
    390,420.80x = 585,825.60 × 222,070.40
  4. Step 4: Simplify right side
    390,420.80x = 130,094,525,322.24
  5. Step 5: Solve for x
    x = 130,094,525,322.24/390,420.80
  6. Step 6: Final answer
    x = 333,216.17

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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.