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Finding the Fourth Proportional to 570,827, 787,741.26 and 316,194.60

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Solution

The fourth proportional to 570,827, 787,741.26 and 316,194.60 is: 436,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,827 : 787,741.26 = 316,194.60 : x
  2. Step 2: Convert to fraction form
    570,827/787,741.26 = 316,194.60/x
  3. Step 3: Cross multiply
    570,827x = 787,741.26 × 316,194.60
  4. Step 4: Simplify right side
    570,827x = 249,079,532,609.20
  5. Step 5: Solve for x
    x = 249,079,532,609.20/570,827
  6. Step 6: Final answer
    x = 436,348.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.