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Finding the Fourth Proportional to 257,703.84, 355,649.06 and 144,533.88

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Solution

The fourth proportional to 257,703.84, 355,649.06 and 144,533.88 is: 199,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,703.84 : 355,649.06 = 144,533.88 : x
  2. Step 2: Convert to fraction form
    257,703.84/355,649.06 = 144,533.88/x
  3. Step 3: Cross multiply
    257,703.84x = 355,649.06 × 144,533.88
  4. Step 4: Simplify right side
    257,703.84x = 51,403,338,560.15
  5. Step 5: Solve for x
    x = 51,403,338,560.15/257,703.84
  6. Step 6: Final answer
    x = 199,466.72

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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.