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Finding the Fourth Proportional to 290,355.36, 435,593.51 and 146,342.12

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Solution

The fourth proportional to 290,355.36, 435,593.51 and 146,342.12 is: 219,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,355.36 : 435,593.51 = 146,342.12 : x
  2. Step 2: Convert to fraction form
    290,355.36/435,593.51 = 146,342.12/x
  3. Step 3: Cross multiply
    290,355.36x = 435,593.51 × 146,342.12
  4. Step 4: Simplify right side
    290,355.36x = 63,745,674,939.16
  5. Step 5: Solve for x
    x = 63,745,674,939.16/290,355.36
  6. Step 6: Final answer
    x = 219,543.65

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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.