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Finding the Fourth Proportional to 257,458.40, 385,684.84 and 122,330.16

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Solution

The fourth proportional to 257,458.40, 385,684.84 and 122,330.16 is: 183,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,458.40 : 385,684.84 = 122,330.16 : x
  2. Step 2: Convert to fraction form
    257,458.40/385,684.84 = 122,330.16/x
  3. Step 3: Cross multiply
    257,458.40x = 385,684.84 × 122,330.16
  4. Step 4: Simplify right side
    257,458.40x = 47,180,888,186.77
  5. Step 5: Solve for x
    x = 47,180,888,186.77/257,458.40
  6. Step 6: Final answer
    x = 183,256.36

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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.