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Finding the Fourth Proportional to 290,341.64, 435,574.68 and 100,808

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Solution

The fourth proportional to 290,341.64, 435,574.68 and 100,808 is: 151,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,341.64 : 435,574.68 = 100,808 : x
  2. Step 2: Convert to fraction form
    290,341.64/435,574.68 = 100,808/x
  3. Step 3: Cross multiply
    290,341.64x = 435,574.68 × 100,808
  4. Step 4: Simplify right side
    290,341.64x = 43,909,412,341.44
  5. Step 5: Solve for x
    x = 43,909,412,341.44/290,341.64
  6. Step 6: Final answer
    x = 151,233.60

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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.