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Finding the Fourth Proportional to 541,055.16, 746,712 and 311,620.32

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Solution

The fourth proportional to 541,055.16, 746,712 and 311,620.32 is: 430,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,055.16 : 746,712 = 311,620.32 : x
  2. Step 2: Convert to fraction form
    541,055.16/746,712 = 311,620.32/x
  3. Step 3: Cross multiply
    541,055.16x = 746,712 × 311,620.32
  4. Step 4: Simplify right side
    541,055.16x = 232,690,632,387.84
  5. Step 5: Solve for x
    x = 232,690,632,387.84/541,055.16
  6. Step 6: Final answer
    x = 430,068.23

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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.