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Finding the Fourth Proportional to 415,925.40, 623,888.10 and 409,704.60

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Solution

The fourth proportional to 415,925.40, 623,888.10 and 409,704.60 is: 614,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,925.40 : 623,888.10 = 409,704.60 : x
  2. Step 2: Convert to fraction form
    415,925.40/623,888.10 = 409,704.60/x
  3. Step 3: Cross multiply
    415,925.40x = 623,888.10 × 409,704.60
  4. Step 4: Simplify right side
    415,925.40x = 255,609,824,455.26
  5. Step 5: Solve for x
    x = 255,609,824,455.26/415,925.40
  6. Step 6: Final answer
    x = 614,556.90

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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.