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Finding the Fourth Proportional to 709,087.48, 978,559.14 and 386,803

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Solution

The fourth proportional to 709,087.48, 978,559.14 and 386,803 is: 533,798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,087.48 : 978,559.14 = 386,803 : x
  2. Step 2: Convert to fraction form
    709,087.48/978,559.14 = 386,803/x
  3. Step 3: Cross multiply
    709,087.48x = 978,559.14 × 386,803
  4. Step 4: Simplify right side
    709,087.48x = 378,509,611,029.42
  5. Step 5: Solve for x
    x = 378,509,611,029.42/709,087.48
  6. Step 6: Final answer
    x = 533,798.19

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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.