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Finding the Fourth Proportional to 315,644.42, 473,468.40 and 105,281.78

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Solution

The fourth proportional to 315,644.42, 473,468.40 and 105,281.78 is: 157,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,644.42 : 473,468.40 = 105,281.78 : x
  2. Step 2: Convert to fraction form
    315,644.42/473,468.40 = 105,281.78/x
  3. Step 3: Cross multiply
    315,644.42x = 473,468.40 × 105,281.78
  4. Step 4: Simplify right side
    315,644.42x = 49,847,595,925.75
  5. Step 5: Solve for x
    x = 49,847,595,925.75/315,644.42
  6. Step 6: Final answer
    x = 157,923.26

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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.