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Finding the Fourth Proportional to 709,678.26, 979,209.75 and 407,813.94

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Solution

The fourth proportional to 709,678.26, 979,209.75 and 407,813.94 is: 562,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,678.26 : 979,209.75 = 407,813.94 : x
  2. Step 2: Convert to fraction form
    709,678.26/979,209.75 = 407,813.94/x
  3. Step 3: Cross multiply
    709,678.26x = 979,209.75 × 407,813.94
  4. Step 4: Simplify right side
    709,678.26x = 399,335,386,233.92
  5. Step 5: Solve for x
    x = 399,335,386,233.92/709,678.26
  6. Step 6: Final answer
    x = 562,699.20

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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.