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Finding the Fourth Proportional to 500,255.64, 690,352.63 and 270,812.76

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Solution

The fourth proportional to 500,255.64, 690,352.63 and 270,812.76 is: 373,721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,255.64 : 690,352.63 = 270,812.76 : x
  2. Step 2: Convert to fraction form
    500,255.64/690,352.63 = 270,812.76/x
  3. Step 3: Cross multiply
    500,255.64x = 690,352.63 × 270,812.76
  4. Step 4: Simplify right side
    500,255.64x = 186,956,300,409.28
  5. Step 5: Solve for x
    x = 186,956,300,409.28/500,255.64
  6. Step 6: Final answer
    x = 373,721.52

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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.