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Finding the Fourth Proportional to 314,293.77, 471,484.67 and 100,989.99

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Solution

The fourth proportional to 314,293.77, 471,484.67 and 100,989.99 is: 151,499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,293.77 : 471,484.67 = 100,989.99 : x
  2. Step 2: Convert to fraction form
    314,293.77/471,484.67 = 100,989.99/x
  3. Step 3: Cross multiply
    314,293.77x = 471,484.67 × 100,989.99
  4. Step 4: Simplify right side
    314,293.77x = 47,615,231,603.50
  5. Step 5: Solve for x
    x = 47,615,231,603.50/314,293.77
  6. Step 6: Final answer
    x = 151,499.13

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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.