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Finding the Fourth Proportional to 413,599.33, 620,707.80 and 307,228.90

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Solution

The fourth proportional to 413,599.33, 620,707.80 and 307,228.90 is: 461,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,599.33 : 620,707.80 = 307,228.90 : x
  2. Step 2: Convert to fraction form
    413,599.33/620,707.80 = 307,228.90/x
  3. Step 3: Cross multiply
    413,599.33x = 620,707.80 × 307,228.90
  4. Step 4: Simplify right side
    413,599.33x = 190,699,374,615.42
  5. Step 5: Solve for x
    x = 190,699,374,615.42/413,599.33
  6. Step 6: Final answer
    x = 461,072.74

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1.5x scale

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.