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Finding the Fourth Proportional to 292,598.40, 438,603.84 and 199,148.16

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Solution

The fourth proportional to 292,598.40, 438,603.84 and 199,148.16 is: 298,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,598.40 : 438,603.84 = 199,148.16 : x
  2. Step 2: Convert to fraction form
    292,598.40/438,603.84 = 199,148.16/x
  3. Step 3: Cross multiply
    292,598.40x = 438,603.84 × 199,148.16
  4. Step 4: Simplify right side
    292,598.40x = 87,347,147,704.93
  5. Step 5: Solve for x
    x = 87,347,147,704.93/292,598.40
  6. Step 6: Final answer
    x = 298,522.30

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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.