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Finding the Fourth Proportional to 413,574.93, 617,560.83 and 328,379.13

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Solution

The fourth proportional to 413,574.93, 617,560.83 and 328,379.13 is: 490,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,574.93 : 617,560.83 = 328,379.13 : x
  2. Step 2: Convert to fraction form
    413,574.93/617,560.83 = 328,379.13/x
  3. Step 3: Cross multiply
    413,574.93x = 617,560.83 × 328,379.13
  4. Step 4: Simplify right side
    413,574.93x = 202,794,088,077.48
  5. Step 5: Solve for x
    x = 202,794,088,077.48/413,574.93
  6. Step 6: Final answer
    x = 490,344.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.