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Finding the Fourth Proportional to 509,054.50, 702,475.96 and 282,714.58

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Solution

The fourth proportional to 509,054.50, 702,475.96 and 282,714.58 is: 390,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,054.50 : 702,475.96 = 282,714.58 : x
  2. Step 2: Convert to fraction form
    509,054.50/702,475.96 = 282,714.58/x
  3. Step 3: Cross multiply
    509,054.50x = 702,475.96 × 282,714.58
  4. Step 4: Simplify right side
    509,054.50x = 198,600,191,065.54
  5. Step 5: Solve for x
    x = 198,600,191,065.54/509,054.50
  6. Step 6: Final answer
    x = 390,135.42

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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.