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Finding the Fourth Proportional to 559,784.46, 772,502.61 and 305,135.64

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Solution

The fourth proportional to 559,784.46, 772,502.61 and 305,135.64 is: 421,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,784.46 : 772,502.61 = 305,135.64 : x
  2. Step 2: Convert to fraction form
    559,784.46/772,502.61 = 305,135.64/x
  3. Step 3: Cross multiply
    559,784.46x = 772,502.61 × 305,135.64
  4. Step 4: Simplify right side
    559,784.46x = 235,718,078,304.02
  5. Step 5: Solve for x
    x = 235,718,078,304.02/559,784.46
  6. Step 6: Final answer
    x = 421,087.21

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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.