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Finding the Fourth Proportional to 397,466.20, 596,199.30 and 101,978.20

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Solution

The fourth proportional to 397,466.20, 596,199.30 and 101,978.20 is: 152,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,466.20 : 596,199.30 = 101,978.20 : x
  2. Step 2: Convert to fraction form
    397,466.20/596,199.30 = 101,978.20/x
  3. Step 3: Cross multiply
    397,466.20x = 596,199.30 × 101,978.20
  4. Step 4: Simplify right side
    397,466.20x = 60,799,331,455.26
  5. Step 5: Solve for x
    x = 60,799,331,455.26/397,466.20
  6. Step 6: Final answer
    x = 152,967.30

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1.5x scale

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.