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Finding the Fourth Proportional to 299,790.51, 413,716.32 and 163,830.19

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Solution

The fourth proportional to 299,790.51, 413,716.32 and 163,830.19 is: 226,088.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,790.51 : 413,716.32 = 163,830.19 : x
  2. Step 2: Convert to fraction form
    299,790.51/413,716.32 = 163,830.19/x
  3. Step 3: Cross multiply
    299,790.51x = 413,716.32 × 163,830.19
  4. Step 4: Simplify right side
    299,790.51x = 67,779,223,311.70
  5. Step 5: Solve for x
    x = 67,779,223,311.70/299,790.51
  6. Step 6: Final answer
    x = 226,088.62

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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.