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Finding the Fourth Proportional to 313,985.76, 432,843.12 and 238,403.04

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Solution

The fourth proportional to 313,985.76, 432,843.12 and 238,403.04 is: 328,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,985.76 : 432,843.12 = 238,403.04 : x
  2. Step 2: Convert to fraction form
    313,985.76/432,843.12 = 238,403.04/x
  3. Step 3: Cross multiply
    313,985.76x = 432,843.12 × 238,403.04
  4. Step 4: Simplify right side
    313,985.76x = 103,191,115,651.09
  5. Step 5: Solve for x
    x = 103,191,115,651.09/313,985.76
  6. Step 6: Final answer
    x = 328,649.03

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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.