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Finding the Fourth Proportional to 415,928.60, 624,108.90 and 194,312.60

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Solution

The fourth proportional to 415,928.60, 624,108.90 and 194,312.60 is: 291,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,928.60 : 624,108.90 = 194,312.60 : x
  2. Step 2: Convert to fraction form
    415,928.60/624,108.90 = 194,312.60/x
  3. Step 3: Cross multiply
    415,928.60x = 624,108.90 × 194,312.60
  4. Step 4: Simplify right side
    415,928.60x = 121,272,223,042.14
  5. Step 5: Solve for x
    x = 121,272,223,042.14/415,928.60
  6. Step 6: Final answer
    x = 291,569.81

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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.