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Finding the Fourth Proportional to 296,989.83, 444,420.53 and 257,146.26

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Solution

The fourth proportional to 296,989.83, 444,420.53 and 257,146.26 is: 384,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,989.83 : 444,420.53 = 257,146.26 : x
  2. Step 2: Convert to fraction form
    296,989.83/444,420.53 = 257,146.26/x
  3. Step 3: Cross multiply
    296,989.83x = 444,420.53 × 257,146.26
  4. Step 4: Simplify right side
    296,989.83x = 114,281,075,870.99
  5. Step 5: Solve for x
    x = 114,281,075,870.99/296,989.83
  6. Step 6: Final answer
    x = 384,797.94

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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.