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Finding the Fourth Proportional to 509,383.42, 702,908 and 294,537.40

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Solution

The fourth proportional to 509,383.42, 702,908 and 294,537.40 is: 406,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,383.42 : 702,908 = 294,537.40 : x
  2. Step 2: Convert to fraction form
    509,383.42/702,908 = 294,537.40/x
  3. Step 3: Cross multiply
    509,383.42x = 702,908 × 294,537.40
  4. Step 4: Simplify right side
    509,383.42x = 207,032,694,759.20
  5. Step 5: Solve for x
    x = 207,032,694,759.20/509,383.42
  6. Step 6: Final answer
    x = 406,437.84

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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.