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Finding the Fourth Proportional to 338,931.36, 508,400.64 and 102,276.12

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Solution

The fourth proportional to 338,931.36, 508,400.64 and 102,276.12 is: 153,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,931.36 : 508,400.64 = 102,276.12 : x
  2. Step 2: Convert to fraction form
    338,931.36/508,400.64 = 102,276.12/x
  3. Step 3: Cross multiply
    338,931.36x = 508,400.64 × 102,276.12
  4. Step 4: Simplify right side
    338,931.36x = 51,997,244,864.72
  5. Step 5: Solve for x
    x = 51,997,244,864.72/338,931.36
  6. Step 6: Final answer
    x = 153,415.27

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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.