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Finding the Fourth Proportional to 653,457.33, 980,308.40 and 293,619.29

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Solution

The fourth proportional to 653,457.33, 980,308.40 and 293,619.29 is: 440,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,457.33 : 980,308.40 = 293,619.29 : x
  2. Step 2: Convert to fraction form
    653,457.33/980,308.40 = 293,619.29/x
  3. Step 3: Cross multiply
    653,457.33x = 980,308.40 × 293,619.29
  4. Step 4: Simplify right side
    653,457.33x = 287,837,450,019.40
  5. Step 5: Solve for x
    x = 287,837,450,019.40/653,457.33
  6. Step 6: Final answer
    x = 440,483.93

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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.