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Finding the Fourth Proportional to 713,249.67, 982,630.30 and 498,048.87

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Solution

The fourth proportional to 713,249.67, 982,630.30 and 498,048.87 is: 686,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,249.67 : 982,630.30 = 498,048.87 : x
  2. Step 2: Convert to fraction form
    713,249.67/982,630.30 = 498,048.87/x
  3. Step 3: Cross multiply
    713,249.67x = 982,630.30 × 498,048.87
  4. Step 4: Simplify right side
    713,249.67x = 489,397,911,754.22
  5. Step 5: Solve for x
    x = 489,397,911,754.22/713,249.67
  6. Step 6: Final answer
    x = 686,152.31

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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.