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Finding the Fourth Proportional to 604,484.06, 905,978.75 and 305,050.32

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Solution

The fourth proportional to 604,484.06, 905,978.75 and 305,050.32 is: 457,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,484.06 : 905,978.75 = 305,050.32 : x
  2. Step 2: Convert to fraction form
    604,484.06/905,978.75 = 305,050.32/x
  3. Step 3: Cross multiply
    604,484.06x = 905,978.75 × 305,050.32
  4. Step 4: Simplify right side
    604,484.06x = 276,369,106,075.45
  5. Step 5: Solve for x
    x = 276,369,106,075.45/604,484.06
  6. Step 6: Final answer
    x = 457,198.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.