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Finding the Fourth Proportional to 506,759.62, 699,280.65 and 343,083.16

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Solution

The fourth proportional to 506,759.62, 699,280.65 and 343,083.16 is: 473,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,759.62 : 699,280.65 = 343,083.16 : x
  2. Step 2: Convert to fraction form
    506,759.62/699,280.65 = 343,083.16/x
  3. Step 3: Cross multiply
    506,759.62x = 699,280.65 × 343,083.16
  4. Step 4: Simplify right side
    506,759.62x = 239,911,415,128.85
  5. Step 5: Solve for x
    x = 239,911,415,128.85/506,759.62
  6. Step 6: Final answer
    x = 473,422.52

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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.