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Finding the Fourth Proportional to 398,261.80, 596,408.55 and 264,417.40

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Solution

The fourth proportional to 398,261.80, 596,408.55 and 264,417.40 is: 395,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,261.80 : 596,408.55 = 264,417.40 : x
  2. Step 2: Convert to fraction form
    398,261.80/596,408.55 = 264,417.40/x
  3. Step 3: Cross multiply
    398,261.80x = 596,408.55 × 264,417.40
  4. Step 4: Simplify right side
    398,261.80x = 157,700,798,128.77
  5. Step 5: Solve for x
    x = 157,700,798,128.77/398,261.80
  6. Step 6: Final answer
    x = 395,972.69

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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.