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Finding the Fourth Proportional to 289,347, 434,016.02 and 78,984.32

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Solution

The fourth proportional to 289,347, 434,016.02 and 78,984.32 is: 118,475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,347 : 434,016.02 = 78,984.32 : x
  2. Step 2: Convert to fraction form
    289,347/434,016.02 = 78,984.32/x
  3. Step 3: Cross multiply
    289,347x = 434,016.02 × 78,984.32
  4. Step 4: Simplify right side
    289,347x = 34,280,460,208.81
  5. Step 5: Solve for x
    x = 34,280,460,208.81/289,347
  6. Step 6: Final answer
    x = 118,475.26

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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.