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Finding the Fourth Proportional to 613,511.21, 920,488.25 and 214,210.81

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Solution

The fourth proportional to 613,511.21, 920,488.25 and 214,210.81 is: 321,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,511.21 : 920,488.25 = 214,210.81 : x
  2. Step 2: Convert to fraction form
    613,511.21/920,488.25 = 214,210.81/x
  3. Step 3: Cross multiply
    613,511.21x = 920,488.25 × 214,210.81
  4. Step 4: Simplify right side
    613,511.21x = 197,178,535,314.12
  5. Step 5: Solve for x
    x = 197,178,535,314.12/613,511.21
  6. Step 6: Final answer
    x = 321,393.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.