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Finding the Fourth Proportional to 315,643.42, 473,466.90 and 105,280.78

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Solution

The fourth proportional to 315,643.42, 473,466.90 and 105,280.78 is: 157,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,643.42 : 473,466.90 = 105,280.78 : x
  2. Step 2: Convert to fraction form
    315,643.42/473,466.90 = 105,280.78/x
  3. Step 3: Cross multiply
    315,643.42x = 473,466.90 × 105,280.78
  4. Step 4: Simplify right side
    315,643.42x = 49,846,964,536.18
  5. Step 5: Solve for x
    x = 49,846,964,536.18/315,643.42
  6. Step 6: Final answer
    x = 157,921.76

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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.