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Finding the Fourth Proportional to 508,999, 702,447.78 and 282,659.08

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Solution

The fourth proportional to 508,999, 702,447.78 and 282,659.08 is: 390,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,999 : 702,447.78 = 282,659.08 : x
  2. Step 2: Convert to fraction form
    508,999/702,447.78 = 282,659.08/x
  3. Step 3: Cross multiply
    508,999x = 702,447.78 × 282,659.08
  4. Step 4: Simplify right side
    508,999x = 198,553,243,242.84
  5. Step 5: Solve for x
    x = 198,553,243,242.84/508,999
  6. Step 6: Final answer
    x = 390,085.72

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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.