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Finding the Fourth Proportional to 613,690.16, 920,756.04 and 214,389.68

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Solution

The fourth proportional to 613,690.16, 920,756.04 and 214,389.68 is: 321,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,690.16 : 920,756.04 = 214,389.68 : x
  2. Step 2: Convert to fraction form
    613,690.16/920,756.04 = 214,389.68/x
  3. Step 3: Cross multiply
    613,690.16x = 920,756.04 × 214,389.68
  4. Step 4: Simplify right side
    613,690.16x = 197,400,592,773.67
  5. Step 5: Solve for x
    x = 197,400,592,773.67/613,690.16
  6. Step 6: Final answer
    x = 321,661.66

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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.