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Finding the Fourth Proportional to 509,437.22, 703,008.59 and 291,638.54

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Solution

The fourth proportional to 509,437.22, 703,008.59 and 291,638.54 is: 402,452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,437.22 : 703,008.59 = 291,638.54 : x
  2. Step 2: Convert to fraction form
    509,437.22/703,008.59 = 291,638.54/x
  3. Step 3: Cross multiply
    509,437.22x = 703,008.59 × 291,638.54
  4. Step 4: Simplify right side
    509,437.22x = 205,024,399,094.39
  5. Step 5: Solve for x
    x = 205,024,399,094.39/509,437.22
  6. Step 6: Final answer
    x = 402,452.73

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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.