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Finding the Fourth Proportional to 301,148.76, 416,073.43 and 256,300.68

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Solution

The fourth proportional to 301,148.76, 416,073.43 and 256,300.68 is: 354,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,148.76 : 416,073.43 = 256,300.68 : x
  2. Step 2: Convert to fraction form
    301,148.76/416,073.43 = 256,300.68/x
  3. Step 3: Cross multiply
    301,148.76x = 416,073.43 × 256,300.68
  4. Step 4: Simplify right side
    301,148.76x = 106,639,903,038.93
  5. Step 5: Solve for x
    x = 106,639,903,038.93/301,148.76
  6. Step 6: Final answer
    x = 354,110.38

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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.