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Finding the Fourth Proportional to 290,547.96, 435,572.30 and 100,983.70

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Solution

The fourth proportional to 290,547.96, 435,572.30 and 100,983.70 is: 151,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,547.96 : 435,572.30 = 100,983.70 : x
  2. Step 2: Convert to fraction form
    290,547.96/435,572.30 = 100,983.70/x
  3. Step 3: Cross multiply
    290,547.96x = 435,572.30 × 100,983.70
  4. Step 4: Simplify right side
    290,547.96x = 43,985,702,471.51
  5. Step 5: Solve for x
    x = 43,985,702,471.51/290,547.96
  6. Step 6: Final answer
    x = 151,388.78

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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.