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Finding the Fourth Proportional to 489,125.60, 686,020 and 489,125.60

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Solution

The fourth proportional to 489,125.60, 686,020 and 489,125.60 is: 686,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,125.60 : 686,020 = 489,125.60 : x
  2. Step 2: Convert to fraction form
    489,125.60/686,020 = 489,125.60/x
  3. Step 3: Cross multiply
    489,125.60x = 686,020 × 489,125.60
  4. Step 4: Simplify right side
    489,125.60x = 335,549,944,112
  5. Step 5: Solve for x
    x = 335,549,944,112/489,125.60
  6. Step 6: Final answer
    x = 686,020

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.