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Finding the Fourth Proportional to 319,978.02, 479,967.06 and 83,320.02

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Solution

The fourth proportional to 319,978.02, 479,967.06 and 83,320.02 is: 124,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,978.02 : 479,967.06 = 83,320.02 : x
  2. Step 2: Convert to fraction form
    319,978.02/479,967.06 = 83,320.02/x
  3. Step 3: Cross multiply
    319,978.02x = 479,967.06 × 83,320.02
  4. Step 4: Simplify right side
    319,978.02x = 39,990,865,038.54
  5. Step 5: Solve for x
    x = 39,990,865,038.54/319,978.02
  6. Step 6: Final answer
    x = 124,980.04

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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.