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Finding the Fourth Proportional to 315,083.12, 472,622.24 and 78,424.22

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Solution

The fourth proportional to 315,083.12, 472,622.24 and 78,424.22 is: 117,635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,083.12 : 472,622.24 = 78,424.22 : x
  2. Step 2: Convert to fraction form
    315,083.12/472,622.24 = 78,424.22/x
  3. Step 3: Cross multiply
    315,083.12x = 472,622.24 × 78,424.22
  4. Step 4: Simplify right side
    315,083.12x = 37,065,030,526.65
  5. Step 5: Solve for x
    x = 37,065,030,526.65/315,083.12
  6. Step 6: Final answer
    x = 117,635.72

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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.