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Finding the Fourth Proportional to 520,298.64, 780,448.20 and 146,321.64

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Solution

The fourth proportional to 520,298.64, 780,448.20 and 146,321.64 is: 219,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,298.64 : 780,448.20 = 146,321.64 : x
  2. Step 2: Convert to fraction form
    520,298.64/780,448.20 = 146,321.64/x
  3. Step 3: Cross multiply
    520,298.64x = 780,448.20 × 146,321.64
  4. Step 4: Simplify right side
    520,298.64x = 114,196,460,559.05
  5. Step 5: Solve for x
    x = 114,196,460,559.05/520,298.64
  6. Step 6: Final answer
    x = 219,482.53

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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.