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Finding the Fourth Proportional to 508,805.28, 702,148.32 and 282,450.24

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Solution

The fourth proportional to 508,805.28, 702,148.32 and 282,450.24 is: 389,779.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,805.28 : 702,148.32 = 282,450.24 : x
  2. Step 2: Convert to fraction form
    508,805.28/702,148.32 = 282,450.24/x
  3. Step 3: Cross multiply
    508,805.28x = 702,148.32 × 282,450.24
  4. Step 4: Simplify right side
    508,805.28x = 198,321,961,499.60
  5. Step 5: Solve for x
    x = 198,321,961,499.60/508,805.28
  6. Step 6: Final answer
    x = 389,779.68

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1.5x scale

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.