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Finding the Fourth Proportional to 257,802.94, 355,770.48 and 144,628.12

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Solution

The fourth proportional to 257,802.94, 355,770.48 and 144,628.12 is: 199,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,802.94 : 355,770.48 = 144,628.12 : x
  2. Step 2: Convert to fraction form
    257,802.94/355,770.48 = 144,628.12/x
  3. Step 3: Cross multiply
    257,802.94x = 355,770.48 × 144,628.12
  4. Step 4: Simplify right side
    257,802.94x = 51,454,415,673.90
  5. Step 5: Solve for x
    x = 51,454,415,673.90/257,802.94
  6. Step 6: Final answer
    x = 199,588.16

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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.