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Finding the Fourth Proportional to 520,415.44, 780,675.12 and 141,342.16

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Solution

The fourth proportional to 520,415.44, 780,675.12 and 141,342.16 is: 212,027.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,415.44 : 780,675.12 = 141,342.16 : x
  2. Step 2: Convert to fraction form
    520,415.44/780,675.12 = 141,342.16/x
  3. Step 3: Cross multiply
    520,415.44x = 780,675.12 × 141,342.16
  4. Step 4: Simplify right side
    520,415.44x = 110,342,307,719.06
  5. Step 5: Solve for x
    x = 110,342,307,719.06/520,415.44
  6. Step 6: Final answer
    x = 212,027.35

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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.