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Finding the Fourth Proportional to 319,970.39, 479,983.12 and 83,313.50

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Solution

The fourth proportional to 319,970.39, 479,983.12 and 83,313.50 is: 124,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,970.39 : 479,983.12 = 83,313.50 : x
  2. Step 2: Convert to fraction form
    319,970.39/479,983.12 = 83,313.50/x
  3. Step 3: Cross multiply
    319,970.39x = 479,983.12 × 83,313.50
  4. Step 4: Simplify right side
    319,970.39x = 39,989,071,059.92
  5. Step 5: Solve for x
    x = 39,989,071,059.92/319,970.39
  6. Step 6: Final answer
    x = 124,977.41

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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.