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Finding the Fourth Proportional to 508,740.82, 702,027.21 and 282,368.50

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Solution

The fourth proportional to 508,740.82, 702,027.21 and 282,368.50 is: 389,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,740.82 : 702,027.21 = 282,368.50 : x
  2. Step 2: Convert to fraction form
    508,740.82/702,027.21 = 282,368.50/x
  3. Step 3: Cross multiply
    508,740.82x = 702,027.21 × 282,368.50
  4. Step 4: Simplify right side
    508,740.82x = 198,230,370,246.89
  5. Step 5: Solve for x
    x = 198,230,370,246.89/508,740.82
  6. Step 6: Final answer
    x = 389,649.04

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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.