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Finding the Fourth Proportional to 520,109.76, 780,157.32 and 165,118.32

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Solution

The fourth proportional to 520,109.76, 780,157.32 and 165,118.32 is: 247,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,109.76 : 780,157.32 = 165,118.32 : x
  2. Step 2: Convert to fraction form
    520,109.76/780,157.32 = 165,118.32/x
  3. Step 3: Cross multiply
    520,109.76x = 780,157.32 × 165,118.32
  4. Step 4: Simplify right side
    520,109.76x = 128,818,266,014.10
  5. Step 5: Solve for x
    x = 128,818,266,014.10/520,109.76
  6. Step 6: Final answer
    x = 247,675.16

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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.