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Finding the Fourth Proportional to 400,308.12, 600,296.04 and 147,603

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Solution

The fourth proportional to 400,308.12, 600,296.04 and 147,603 is: 221,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,308.12 : 600,296.04 = 147,603 : x
  2. Step 2: Convert to fraction form
    400,308.12/600,296.04 = 147,603/x
  3. Step 3: Cross multiply
    400,308.12x = 600,296.04 × 147,603
  4. Step 4: Simplify right side
    400,308.12x = 88,605,496,392.12
  5. Step 5: Solve for x
    x = 88,605,496,392.12/400,308.12
  6. Step 6: Final answer
    x = 221,343.24

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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.