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Finding the Fourth Proportional to 299,512.80, 413,329.67 and 163,547.70

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Solution

The fourth proportional to 299,512.80, 413,329.67 and 163,547.70 is: 225,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,512.80 : 413,329.67 = 163,547.70 : x
  2. Step 2: Convert to fraction form
    299,512.80/413,329.67 = 163,547.70/x
  3. Step 3: Cross multiply
    299,512.80x = 413,329.67 × 163,547.70
  4. Step 4: Simplify right side
    299,512.80x = 67,599,113,985.87
  5. Step 5: Solve for x
    x = 67,599,113,985.87/299,512.80
  6. Step 6: Final answer
    x = 225,696.91

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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.