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Finding the Fourth Proportional to 256,906.65, 360,259.80 and 256,906.65

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Solution

The fourth proportional to 256,906.65, 360,259.80 and 256,906.65 is: 360,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,906.65 : 360,259.80 = 256,906.65 : x
  2. Step 2: Convert to fraction form
    256,906.65/360,259.80 = 256,906.65/x
  3. Step 3: Cross multiply
    256,906.65x = 360,259.80 × 256,906.65
  4. Step 4: Simplify right side
    256,906.65x = 92,553,138,347.67
  5. Step 5: Solve for x
    x = 92,553,138,347.67/256,906.65
  6. Step 6: Final answer
    x = 360,259.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.