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Finding the Fourth Proportional to 556,728.57, 835,512.68 and 407,354.24

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Solution

The fourth proportional to 556,728.57, 835,512.68 and 407,354.24 is: 611,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,728.57 : 835,512.68 = 407,354.24 : x
  2. Step 2: Convert to fraction form
    556,728.57/835,512.68 = 407,354.24/x
  3. Step 3: Cross multiply
    556,728.57x = 835,512.68 × 407,354.24
  4. Step 4: Simplify right side
    556,728.57x = 340,349,634,101.89
  5. Step 5: Solve for x
    x = 340,349,634,101.89/556,728.57
  6. Step 6: Final answer
    x = 611,338.55

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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.