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Finding the Fourth Proportional to 520,261.31, 780,392.27 and 146,284.31

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Solution

The fourth proportional to 520,261.31, 780,392.27 and 146,284.31 is: 219,426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,261.31 : 780,392.27 = 146,284.31 : x
  2. Step 2: Convert to fraction form
    520,261.31/780,392.27 = 146,284.31/x
  3. Step 3: Cross multiply
    520,261.31x = 780,392.27 × 146,284.31
  4. Step 4: Simplify right side
    520,261.31x = 114,159,147,062.98
  5. Step 5: Solve for x
    x = 114,159,147,062.98/520,261.31
  6. Step 6: Final answer
    x = 219,426.55

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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.