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Finding the Fourth Proportional to 520,007, 780,010.50 and 126,023

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Solution

The fourth proportional to 520,007, 780,010.50 and 126,023 is: 189,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,007 : 780,010.50 = 126,023 : x
  2. Step 2: Convert to fraction form
    520,007/780,010.50 = 126,023/x
  3. Step 3: Cross multiply
    520,007x = 780,010.50 × 126,023
  4. Step 4: Simplify right side
    520,007x = 98,299,263,241.50
  5. Step 5: Solve for x
    x = 98,299,263,241.50/520,007
  6. Step 6: Final answer
    x = 189,034.50

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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.