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Finding the Fourth Proportional to 522,425, 721,014.54 and 307,584.92

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Solution

The fourth proportional to 522,425, 721,014.54 and 307,584.92 is: 424,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,425 : 721,014.54 = 307,584.92 : x
  2. Step 2: Convert to fraction form
    522,425/721,014.54 = 307,584.92/x
  3. Step 3: Cross multiply
    522,425x = 721,014.54 × 307,584.92
  4. Step 4: Simplify right side
    522,425x = 221,773,199,604.74
  5. Step 5: Solve for x
    x = 221,773,199,604.74/522,425
  6. Step 6: Final answer
    x = 424,507.25

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1.5x scale

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.