Home / 470,246.42-647,465.10-414,999.20

Finding the Fourth Proportional to 470,246.42, 647,465.10 and 414,999.20

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Solution

The fourth proportional to 470,246.42, 647,465.10 and 414,999.20 is: 571,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,246.42 : 647,465.10 = 414,999.20 : x
  2. Step 2: Convert to fraction form
    470,246.42/647,465.10 = 414,999.20/x
  3. Step 3: Cross multiply
    470,246.42x = 647,465.10 × 414,999.20
  4. Step 4: Simplify right side
    470,246.42x = 268,697,498,527.92
  5. Step 5: Solve for x
    x = 268,697,498,527.92/470,246.42
  6. Step 6: Final answer
    x = 571,397.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.