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Finding the Fourth Proportional to 257,463.37, 386,038.72 and 115,281.64

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Solution

The fourth proportional to 257,463.37, 386,038.72 and 115,281.64 is: 172,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,463.37 : 386,038.72 = 115,281.64 : x
  2. Step 2: Convert to fraction form
    257,463.37/386,038.72 = 115,281.64/x
  3. Step 3: Cross multiply
    257,463.37x = 386,038.72 × 115,281.64
  4. Step 4: Simplify right side
    257,463.37x = 44,503,174,238.50
  5. Step 5: Solve for x
    x = 44,503,174,238.50/257,463.37
  6. Step 6: Final answer
    x = 172,852.45

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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.