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Finding the Fourth Proportional to 556,675.47, 768,130.47 and 311,647.50

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Solution

The fourth proportional to 556,675.47, 768,130.47 and 311,647.50 is: 430,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,675.47 : 768,130.47 = 311,647.50 : x
  2. Step 2: Convert to fraction form
    556,675.47/768,130.47 = 311,647.50/x
  3. Step 3: Cross multiply
    556,675.47x = 768,130.47 × 311,647.50
  4. Step 4: Simplify right side
    556,675.47x = 239,385,940,649.33
  5. Step 5: Solve for x
    x = 239,385,940,649.33/556,675.47
  6. Step 6: Final answer
    x = 430,027.82

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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.