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Finding the Fourth Proportional to 415,644.94, 623,445 and 162,970.84

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Solution

The fourth proportional to 415,644.94, 623,445 and 162,970.84 is: 244,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,644.94 : 623,445 = 162,970.84 : x
  2. Step 2: Convert to fraction form
    415,644.94/623,445 = 162,970.84/x
  3. Step 3: Cross multiply
    415,644.94x = 623,445 × 162,970.84
  4. Step 4: Simplify right side
    415,644.94x = 101,603,355,343.80
  5. Step 5: Solve for x
    x = 101,603,355,343.80/415,644.94
  6. Step 6: Final answer
    x = 244,447.47

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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.