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Finding the Fourth Proportional to 709,018.91, 978,449.13 and 386,735.93

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Solution

The fourth proportional to 709,018.91, 978,449.13 and 386,735.93 is: 533,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,018.91 : 978,449.13 = 386,735.93 : x
  2. Step 2: Convert to fraction form
    709,018.91/978,449.13 = 386,735.93/x
  3. Step 3: Cross multiply
    709,018.91x = 978,449.13 × 386,735.93
  4. Step 4: Simplify right side
    709,018.91x = 378,401,429,356.00
  5. Step 5: Solve for x
    x = 378,401,429,356.00/709,018.91
  6. Step 6: Final answer
    x = 533,697.24

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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.