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Finding the Fourth Proportional to 286,085.15, 428,828.60 and 96,480.02

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Solution

The fourth proportional to 286,085.15, 428,828.60 and 96,480.02 is: 144,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,085.15 : 428,828.60 = 96,480.02 : x
  2. Step 2: Convert to fraction form
    286,085.15/428,828.60 = 96,480.02/x
  3. Step 3: Cross multiply
    286,085.15x = 428,828.60 × 96,480.02
  4. Step 4: Simplify right side
    286,085.15x = 41,373,390,001.63
  5. Step 5: Solve for x
    x = 41,373,390,001.63/286,085.15
  6. Step 6: Final answer
    x = 144,619.14

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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.