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Finding the Fourth Proportional to 506,885.44, 699,576 and 291,984.16

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Solution

The fourth proportional to 506,885.44, 699,576 and 291,984.16 is: 402,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,885.44 : 699,576 = 291,984.16 : x
  2. Step 2: Convert to fraction form
    506,885.44/699,576 = 291,984.16/x
  3. Step 3: Cross multiply
    506,885.44x = 699,576 × 291,984.16
  4. Step 4: Simplify right side
    506,885.44x = 204,265,110,716.16
  5. Step 5: Solve for x
    x = 204,265,110,716.16/506,885.44
  6. Step 6: Final answer
    x = 402,980.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.