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Finding the Fourth Proportional to 566,871.83, 782,283.92 and 308,749.78

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Solution

The fourth proportional to 566,871.83, 782,283.92 and 308,749.78 is: 426,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,871.83 : 782,283.92 = 308,749.78 : x
  2. Step 2: Convert to fraction form
    566,871.83/782,283.92 = 308,749.78/x
  3. Step 3: Cross multiply
    566,871.83x = 782,283.92 × 308,749.78
  4. Step 4: Simplify right side
    566,871.83x = 241,529,990,700.18
  5. Step 5: Solve for x
    x = 241,529,990,700.18/566,871.83
  6. Step 6: Final answer
    x = 426,075.14

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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.