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Finding the Fourth Proportional to 709,626, 979,323.84 and 407,839.44

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Solution

The fourth proportional to 709,626, 979,323.84 and 407,839.44 is: 562,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,626 : 979,323.84 = 407,839.44 : x
  2. Step 2: Convert to fraction form
    709,626/979,323.84 = 407,839.44/x
  3. Step 3: Cross multiply
    709,626x = 979,323.84 × 407,839.44
  4. Step 4: Simplify right side
    709,626x = 399,406,886,484.25
  5. Step 5: Solve for x
    x = 399,406,886,484.25/709,626
  6. Step 6: Final answer
    x = 562,841.39

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1.5x scale

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.