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Finding the Fourth Proportional to 314,294.52, 471,485.79 and 100,990.74

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Solution

The fourth proportional to 314,294.52, 471,485.79 and 100,990.74 is: 151,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,294.52 : 471,485.79 = 100,990.74 : x
  2. Step 2: Convert to fraction form
    314,294.52/471,485.79 = 100,990.74/x
  3. Step 3: Cross multiply
    314,294.52x = 471,485.79 × 100,990.74
  4. Step 4: Simplify right side
    314,294.52x = 47,615,698,831.58
  5. Step 5: Solve for x
    x = 47,615,698,831.58/314,294.52
  6. Step 6: Final answer
    x = 151,500.25

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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.