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Finding the Fourth Proportional to 709,004.93, 978,438.34 and 386,714.95

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Solution

The fourth proportional to 709,004.93, 978,438.34 and 386,714.95 is: 533,672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,004.93 : 978,438.34 = 386,714.95 : x
  2. Step 2: Convert to fraction form
    709,004.93/978,438.34 = 386,714.95/x
  3. Step 3: Cross multiply
    709,004.93x = 978,438.34 × 386,714.95
  4. Step 4: Simplify right side
    709,004.93x = 378,376,728,838.99
  5. Step 5: Solve for x
    x = 378,376,728,838.99/709,004.93
  6. Step 6: Final answer
    x = 533,672.92

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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.