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Finding the Fourth Proportional to 520,775.52, 718,636.16 and 291,292.96

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Solution

The fourth proportional to 520,775.52, 718,636.16 and 291,292.96 is: 401,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,775.52 : 718,636.16 = 291,292.96 : x
  2. Step 2: Convert to fraction form
    520,775.52/718,636.16 = 291,292.96/x
  3. Step 3: Cross multiply
    520,775.52x = 718,636.16 × 291,292.96
  4. Step 4: Simplify right side
    520,775.52x = 209,333,654,209.43
  5. Step 5: Solve for x
    x = 209,333,654,209.43/520,775.52
  6. Step 6: Final answer
    x = 401,965.23

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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.