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Finding the Fourth Proportional to 474,810.18, 655,235.90 and 257,019

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Solution

The fourth proportional to 474,810.18, 655,235.90 and 257,019 is: 354,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,810.18 : 655,235.90 = 257,019 : x
  2. Step 2: Convert to fraction form
    474,810.18/655,235.90 = 257,019/x
  3. Step 3: Cross multiply
    474,810.18x = 655,235.90 × 257,019
  4. Step 4: Simplify right side
    474,810.18x = 168,408,075,782.10
  5. Step 5: Solve for x
    x = 168,408,075,782.10/474,810.18
  6. Step 6: Final answer
    x = 354,685.06

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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.