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Finding the Fourth Proportional to 516,403.34, 712,703.31 and 290,048.84

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Solution

The fourth proportional to 516,403.34, 712,703.31 and 290,048.84 is: 400,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,403.34 : 712,703.31 = 290,048.84 : x
  2. Step 2: Convert to fraction form
    516,403.34/712,703.31 = 290,048.84/x
  3. Step 3: Cross multiply
    516,403.34x = 712,703.31 × 290,048.84
  4. Step 4: Simplify right side
    516,403.34x = 206,718,768,329.66
  5. Step 5: Solve for x
    x = 206,718,768,329.66/516,403.34
  6. Step 6: Final answer
    x = 400,304.86

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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.