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Finding the Fourth Proportional to 520,228.50, 717,973.68 and 293,888.58

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Solution

The fourth proportional to 520,228.50, 717,973.68 and 293,888.58 is: 405,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,228.50 : 717,973.68 = 293,888.58 : x
  2. Step 2: Convert to fraction form
    520,228.50/717,973.68 = 293,888.58/x
  3. Step 3: Cross multiply
    520,228.50x = 717,973.68 × 293,888.58
  4. Step 4: Simplify right side
    520,228.50x = 211,004,265,292.57
  5. Step 5: Solve for x
    x = 211,004,265,292.57/520,228.50
  6. Step 6: Final answer
    x = 405,599.20

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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.