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Finding the Fourth Proportional to 508,825.86, 702,152.16 and 282,456.78

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Solution

The fourth proportional to 508,825.86, 702,152.16 and 282,456.78 is: 389,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,825.86 : 702,152.16 = 282,456.78 : x
  2. Step 2: Convert to fraction form
    508,825.86/702,152.16 = 282,456.78/x
  3. Step 3: Cross multiply
    508,825.86x = 702,152.16 × 282,456.78
  4. Step 4: Simplify right side
    508,825.86x = 198,327,638,183.65
  5. Step 5: Solve for x
    x = 198,327,638,183.65/508,825.86
  6. Step 6: Final answer
    x = 389,775.08

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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.