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Finding the Fourth Proportional to 451,987.74, 677,500.47 and 214,829.46

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Solution

The fourth proportional to 451,987.74, 677,500.47 and 214,829.46 is: 322,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,987.74 : 677,500.47 = 214,829.46 : x
  2. Step 2: Convert to fraction form
    451,987.74/677,500.47 = 214,829.46/x
  3. Step 3: Cross multiply
    451,987.74x = 677,500.47 × 214,829.46
  4. Step 4: Simplify right side
    451,987.74x = 145,547,060,119.85
  5. Step 5: Solve for x
    x = 145,547,060,119.85/451,987.74
  6. Step 6: Final answer
    x = 322,015.50

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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.