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Finding the Fourth Proportional to 315,357.90, 473,023.53 and 146,820.30

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Solution

The fourth proportional to 315,357.90, 473,023.53 and 146,820.30 is: 220,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,357.90 : 473,023.53 = 146,820.30 : x
  2. Step 2: Convert to fraction form
    315,357.90/473,023.53 = 146,820.30/x
  3. Step 3: Cross multiply
    315,357.90x = 473,023.53 × 146,820.30
  4. Step 4: Simplify right side
    315,357.90x = 69,449,456,581.66
  5. Step 5: Solve for x
    x = 69,449,456,581.66/315,357.90
  6. Step 6: Final answer
    x = 220,224.25

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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.