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Finding the Fourth Proportional to 709,136.98, 978,612.24 and 386,846.08

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Solution

The fourth proportional to 709,136.98, 978,612.24 and 386,846.08 is: 533,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,136.98 : 978,612.24 = 386,846.08 : x
  2. Step 2: Convert to fraction form
    709,136.98/978,612.24 = 386,846.08/x
  3. Step 3: Cross multiply
    709,136.98x = 978,612.24 × 386,846.08
  4. Step 4: Simplify right side
    709,136.98x = 378,572,308,884.02
  5. Step 5: Solve for x
    x = 378,572,308,884.02/709,136.98
  6. Step 6: Final answer
    x = 533,849.34

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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.