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Finding the Fourth Proportional to 520,304.64, 780,457.16 and 146,327.64

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Solution

The fourth proportional to 520,304.64, 780,457.16 and 146,327.64 is: 219,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,304.64 : 780,457.16 = 146,327.64 : x
  2. Step 2: Convert to fraction form
    520,304.64/780,457.16 = 146,327.64/x
  3. Step 3: Cross multiply
    520,304.64x = 780,457.16 × 146,327.64
  4. Step 4: Simplify right side
    520,304.64x = 114,202,454,343.90
  5. Step 5: Solve for x
    x = 114,202,454,343.90/520,304.64
  6. Step 6: Final answer
    x = 219,491.52

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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.