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Finding the Fourth Proportional to 290,152.96, 435,208.54 and 76,916.02

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Solution

The fourth proportional to 290,152.96, 435,208.54 and 76,916.02 is: 115,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,152.96 : 435,208.54 = 76,916.02 : x
  2. Step 2: Convert to fraction form
    290,152.96/435,208.54 = 76,916.02/x
  3. Step 3: Cross multiply
    290,152.96x = 435,208.54 × 76,916.02
  4. Step 4: Simplify right side
    290,152.96x = 33,474,508,766.81
  5. Step 5: Solve for x
    x = 33,474,508,766.81/290,152.96
  6. Step 6: Final answer
    x = 115,368.49

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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.