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Finding the Fourth Proportional to 505,584.36, 697,702.14 and 279,225

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Solution

The fourth proportional to 505,584.36, 697,702.14 and 279,225 is: 385,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,584.36 : 697,702.14 = 279,225 : x
  2. Step 2: Convert to fraction form
    505,584.36/697,702.14 = 279,225/x
  3. Step 3: Cross multiply
    505,584.36x = 697,702.14 × 279,225
  4. Step 4: Simplify right side
    505,584.36x = 194,815,880,041.50
  5. Step 5: Solve for x
    x = 194,815,880,041.50/505,584.36
  6. Step 6: Final answer
    x = 385,328.14

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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.