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Finding the Fourth Proportional to 520,321.32, 780,534 and 141,248.16

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Solution

The fourth proportional to 520,321.32, 780,534 and 141,248.16 is: 211,886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,321.32 : 780,534 = 141,248.16 : x
  2. Step 2: Convert to fraction form
    520,321.32/780,534 = 141,248.16/x
  3. Step 3: Cross multiply
    520,321.32x = 780,534 × 141,248.16
  4. Step 4: Simplify right side
    520,321.32x = 110,248,991,317.44
  5. Step 5: Solve for x
    x = 110,248,991,317.44/520,321.32
  6. Step 6: Final answer
    x = 211,886.36

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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.