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Finding the Fourth Proportional to 257,281.50, 385,852.50 and 107,490.45

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Solution

The fourth proportional to 257,281.50, 385,852.50 and 107,490.45 is: 161,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,281.50 : 385,852.50 = 107,490.45 : x
  2. Step 2: Convert to fraction form
    257,281.50/385,852.50 = 107,490.45/x
  3. Step 3: Cross multiply
    257,281.50x = 385,852.50 × 107,490.45
  4. Step 4: Simplify right side
    257,281.50x = 41,475,458,858.63
  5. Step 5: Solve for x
    x = 41,475,458,858.63/257,281.50
  6. Step 6: Final answer
    x = 161,206.53

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1.5x scale

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.