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Finding the Fourth Proportional to 456,931.80, 684,911.70 and 220,120.20

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Solution

The fourth proportional to 456,931.80, 684,911.70 and 220,120.20 is: 329,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,931.80 : 684,911.70 = 220,120.20 : x
  2. Step 2: Convert to fraction form
    456,931.80/684,911.70 = 220,120.20/x
  3. Step 3: Cross multiply
    456,931.80x = 684,911.70 × 220,120.20
  4. Step 4: Simplify right side
    456,931.80x = 150,762,900,386.34
  5. Step 5: Solve for x
    x = 150,762,900,386.34/456,931.80
  6. Step 6: Final answer
    x = 329,946.18

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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.