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Finding the Fourth Proportional to 319,492.21, 478,765 and 129,721.81

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Solution

The fourth proportional to 319,492.21, 478,765 and 129,721.81 is: 194,390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,492.21 : 478,765 = 129,721.81 : x
  2. Step 2: Convert to fraction form
    319,492.21/478,765 = 129,721.81/x
  3. Step 3: Cross multiply
    319,492.21x = 478,765 × 129,721.81
  4. Step 4: Simplify right side
    319,492.21x = 62,106,262,364.65
  5. Step 5: Solve for x
    x = 62,106,262,364.65/319,492.21
  6. Step 6: Final answer
    x = 194,390.54

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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.