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Finding the Fourth Proportional to 520,119, 780,403.86 and 183,400.16

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Solution

The fourth proportional to 520,119, 780,403.86 and 183,400.16 is: 275,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,119 : 780,403.86 = 183,400.16 : x
  2. Step 2: Convert to fraction form
    520,119/780,403.86 = 183,400.16/x
  3. Step 3: Cross multiply
    520,119x = 780,403.86 × 183,400.16
  4. Step 4: Simplify right side
    520,119x = 143,126,188,886.60
  5. Step 5: Solve for x
    x = 143,126,188,886.60/520,119
  6. Step 6: Final answer
    x = 275,179.70

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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.