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Finding the Fourth Proportional to 456,047.16, 684,218.28 and 219,358.92

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Solution

The fourth proportional to 456,047.16, 684,218.28 and 219,358.92 is: 329,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,047.16 : 684,218.28 = 219,358.92 : x
  2. Step 2: Convert to fraction form
    456,047.16/684,218.28 = 219,358.92/x
  3. Step 3: Cross multiply
    456,047.16x = 684,218.28 × 219,358.92
  4. Step 4: Simplify right side
    456,047.16x = 150,089,382,945.06
  5. Step 5: Solve for x
    x = 150,089,382,945.06/456,047.16
  6. Step 6: Final answer
    x = 329,109.35

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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.