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Finding the Fourth Proportional to 709,026, 978,458.94 and 386,743.02

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Solution

The fourth proportional to 709,026, 978,458.94 and 386,743.02 is: 533,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,026 : 978,458.94 = 386,743.02 : x
  2. Step 2: Convert to fraction form
    709,026/978,458.94 = 386,743.02/x
  3. Step 3: Cross multiply
    709,026x = 978,458.94 × 386,743.02
  4. Step 4: Simplify right side
    709,026x = 378,412,165,401.60
  5. Step 5: Solve for x
    x = 378,412,165,401.60/709,026
  6. Step 6: Final answer
    x = 533,707.04

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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.