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Finding the Fourth Proportional to 556,806.80, 835,210.20 and 415,089.20

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Solution

The fourth proportional to 556,806.80, 835,210.20 and 415,089.20 is: 622,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,806.80 : 835,210.20 = 415,089.20 : x
  2. Step 2: Convert to fraction form
    556,806.80/835,210.20 = 415,089.20/x
  3. Step 3: Cross multiply
    556,806.80x = 835,210.20 × 415,089.20
  4. Step 4: Simplify right side
    556,806.80x = 346,686,733,749.84
  5. Step 5: Solve for x
    x = 346,686,733,749.84/556,806.80
  6. Step 6: Final answer
    x = 622,633.80

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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.