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Finding the Fourth Proportional to 500,111.76, 690,017.76 and 285,173.52

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Solution

The fourth proportional to 500,111.76, 690,017.76 and 285,173.52 is: 393,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,111.76 : 690,017.76 = 285,173.52 : x
  2. Step 2: Convert to fraction form
    500,111.76/690,017.76 = 285,173.52/x
  3. Step 3: Cross multiply
    500,111.76x = 690,017.76 × 285,173.52
  4. Step 4: Simplify right side
    500,111.76x = 196,774,793,481.72
  5. Step 5: Solve for x
    x = 196,774,793,481.72/500,111.76
  6. Step 6: Final answer
    x = 393,461.64

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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.