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Finding the Fourth Proportional to 280,256.94, 386,762.78 and 152,940.74

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Solution

The fourth proportional to 280,256.94, 386,762.78 and 152,940.74 is: 211,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,256.94 : 386,762.78 = 152,940.74 : x
  2. Step 2: Convert to fraction form
    280,256.94/386,762.78 = 152,940.74/x
  3. Step 3: Cross multiply
    280,256.94x = 386,762.78 × 152,940.74
  4. Step 4: Simplify right side
    280,256.94x = 59,151,785,777.66
  5. Step 5: Solve for x
    x = 59,151,785,777.66/280,256.94
  6. Step 6: Final answer
    x = 211,062.70

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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.