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Finding the Fourth Proportional to 256,833.35, 385,315.75 and 150,307.01

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Solution

The fourth proportional to 256,833.35, 385,315.75 and 150,307.01 is: 225,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,833.35 : 385,315.75 = 150,307.01 : x
  2. Step 2: Convert to fraction form
    256,833.35/385,315.75 = 150,307.01/x
  3. Step 3: Cross multiply
    256,833.35x = 385,315.75 × 150,307.01
  4. Step 4: Simplify right side
    256,833.35x = 57,915,657,994.65
  5. Step 5: Solve for x
    x = 57,915,657,994.65/256,833.35
  6. Step 6: Final answer
    x = 225,498.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.