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Finding the Fourth Proportional to 486,374.16, 728,066.42 and 414,629.76

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Solution

The fourth proportional to 486,374.16, 728,066.42 and 414,629.76 is: 620,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,374.16 : 728,066.42 = 414,629.76 : x
  2. Step 2: Convert to fraction form
    486,374.16/728,066.42 = 414,629.76/x
  3. Step 3: Cross multiply
    486,374.16x = 728,066.42 × 414,629.76
  4. Step 4: Simplify right side
    486,374.16x = 301,878,004,988.66
  5. Step 5: Solve for x
    x = 301,878,004,988.66/486,374.16
  6. Step 6: Final answer
    x = 620,670.32

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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.