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Finding the Fourth Proportional to 517,932.63, 714,695.94 and 288,482.22

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Solution

The fourth proportional to 517,932.63, 714,695.94 and 288,482.22 is: 398,077.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,932.63 : 714,695.94 = 288,482.22 : x
  2. Step 2: Convert to fraction form
    517,932.63/714,695.94 = 288,482.22/x
  3. Step 3: Cross multiply
    517,932.63x = 714,695.94 × 288,482.22
  4. Step 4: Simplify right side
    517,932.63x = 206,177,071,396.19
  5. Step 5: Solve for x
    x = 206,177,071,396.19/517,932.63
  6. Step 6: Final answer
    x = 398,077.01

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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.