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Finding the Fourth Proportional to 520,083.71, 717,713.40 and 290,640.93

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Solution

The fourth proportional to 520,083.71, 717,713.40 and 290,640.93 is: 401,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,083.71 : 717,713.40 = 290,640.93 : x
  2. Step 2: Convert to fraction form
    520,083.71/717,713.40 = 290,640.93/x
  3. Step 3: Cross multiply
    520,083.71x = 717,713.40 × 290,640.93
  4. Step 4: Simplify right side
    520,083.71x = 208,596,890,049.46
  5. Step 5: Solve for x
    x = 208,596,890,049.46/520,083.71
  6. Step 6: Final answer
    x = 401,083.30

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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.