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Finding the Fourth Proportional to 517,739.49, 714,290.88 and 313,643.18

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Solution

The fourth proportional to 517,739.49, 714,290.88 and 313,643.18 is: 432,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,739.49 : 714,290.88 = 313,643.18 : x
  2. Step 2: Convert to fraction form
    517,739.49/714,290.88 = 313,643.18/x
  3. Step 3: Cross multiply
    517,739.49x = 714,290.88 × 313,643.18
  4. Step 4: Simplify right side
    517,739.49x = 224,032,464,833.93
  5. Step 5: Solve for x
    x = 224,032,464,833.93/517,739.49
  6. Step 6: Final answer
    x = 432,712.72

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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.