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Finding the Fourth Proportional to 343,543.88, 474,095.22 and 257,350.16

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Solution

The fourth proportional to 343,543.88, 474,095.22 and 257,350.16 is: 355,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,543.88 : 474,095.22 = 257,350.16 : x
  2. Step 2: Convert to fraction form
    343,543.88/474,095.22 = 257,350.16/x
  3. Step 3: Cross multiply
    343,543.88x = 474,095.22 × 257,350.16
  4. Step 4: Simplify right side
    343,543.88x = 122,008,480,722.24
  5. Step 5: Solve for x
    x = 122,008,480,722.24/343,543.88
  6. Step 6: Final answer
    x = 355,146.72

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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.