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Finding the Fourth Proportional to 500,054.25, 689,938.52 and 285,115.89

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Solution

The fourth proportional to 500,054.25, 689,938.52 and 285,115.89 is: 393,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,054.25 : 689,938.52 = 285,115.89 : x
  2. Step 2: Convert to fraction form
    500,054.25/689,938.52 = 285,115.89/x
  3. Step 3: Cross multiply
    500,054.25x = 689,938.52 × 285,115.89
  4. Step 4: Simplify right side
    500,054.25x = 196,712,433,749.50
  5. Step 5: Solve for x
    x = 196,712,433,749.50/500,054.25
  6. Step 6: Final answer
    x = 393,382.19

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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.