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Finding the Fourth Proportional to 500,294.33, 690,407.29 and 270,854.03

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Solution

The fourth proportional to 500,294.33, 690,407.29 and 270,854.03 is: 373,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,294.33 : 690,407.29 = 270,854.03 : x
  2. Step 2: Convert to fraction form
    500,294.33/690,407.29 = 270,854.03/x
  3. Step 3: Cross multiply
    500,294.33x = 690,407.29 × 270,854.03
  4. Step 4: Simplify right side
    500,294.33x = 186,999,598,140.69
  5. Step 5: Solve for x
    x = 186,999,598,140.69/500,294.33
  6. Step 6: Final answer
    x = 373,779.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.