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Finding the Fourth Proportional to 343,465, 473,820.42 and 242,918.44

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Solution

The fourth proportional to 343,465, 473,820.42 and 242,918.44 is: 335,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,465 : 473,820.42 = 242,918.44 : x
  2. Step 2: Convert to fraction form
    343,465/473,820.42 = 242,918.44/x
  3. Step 3: Cross multiply
    343,465x = 473,820.42 × 242,918.44
  4. Step 4: Simplify right side
    343,465x = 115,099,717,266.55
  5. Step 5: Solve for x
    x = 115,099,717,266.55/343,465
  6. Step 6: Final answer
    x = 335,113.38

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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.