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Finding the Fourth Proportional to 507,577.44, 700,456.32 and 278,140.32

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Solution

The fourth proportional to 507,577.44, 700,456.32 and 278,140.32 is: 383,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,577.44 : 700,456.32 = 278,140.32 : x
  2. Step 2: Convert to fraction form
    507,577.44/700,456.32 = 278,140.32/x
  3. Step 3: Cross multiply
    507,577.44x = 700,456.32 × 278,140.32
  4. Step 4: Simplify right side
    507,577.44x = 194,825,144,990.82
  5. Step 5: Solve for x
    x = 194,825,144,990.82/507,577.44
  6. Step 6: Final answer
    x = 383,833.34

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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.