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Finding the Fourth Proportional to 257,042.35, 354,718.39 and 143,865.10

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Solution

The fourth proportional to 257,042.35, 354,718.39 and 143,865.10 is: 198,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,042.35 : 354,718.39 = 143,865.10 : x
  2. Step 2: Convert to fraction form
    257,042.35/354,718.39 = 143,865.10/x
  3. Step 3: Cross multiply
    257,042.35x = 354,718.39 × 143,865.10
  4. Step 4: Simplify right side
    257,042.35x = 51,031,596,649.19
  5. Step 5: Solve for x
    x = 51,031,596,649.19/257,042.35
  6. Step 6: Final answer
    x = 198,533.81

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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.