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Finding the Fourth Proportional to 299,355.32, 413,106.54 and 165,210.68

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Solution

The fourth proportional to 299,355.32, 413,106.54 and 165,210.68 is: 227,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,355.32 : 413,106.54 = 165,210.68 : x
  2. Step 2: Convert to fraction form
    299,355.32/413,106.54 = 165,210.68/x
  3. Step 3: Cross multiply
    299,355.32x = 413,106.54 × 165,210.68
  4. Step 4: Simplify right side
    299,355.32x = 68,249,612,385.85
  5. Step 5: Solve for x
    x = 68,249,612,385.85/299,355.32
  6. Step 6: Final answer
    x = 227,988.64

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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.