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Finding the Fourth Proportional to 319,977.71, 480,038.13 and 120,299.82

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Solution

The fourth proportional to 319,977.71, 480,038.13 and 120,299.82 is: 180,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,977.71 : 480,038.13 = 120,299.82 : x
  2. Step 2: Convert to fraction form
    319,977.71/480,038.13 = 120,299.82/x
  3. Step 3: Cross multiply
    319,977.71x = 480,038.13 × 120,299.82
  4. Step 4: Simplify right side
    319,977.71x = 57,748,500,632.14
  5. Step 5: Solve for x
    x = 57,748,500,632.14/319,977.71
  6. Step 6: Final answer
    x = 180,476.64

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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.