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Finding the Fourth Proportional to 390,851.60, 586,342.20 and 166,319.60

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Solution

The fourth proportional to 390,851.60, 586,342.20 and 166,319.60 is: 249,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,851.60 : 586,342.20 = 166,319.60 : x
  2. Step 2: Convert to fraction form
    390,851.60/586,342.20 = 166,319.60/x
  3. Step 3: Cross multiply
    390,851.60x = 586,342.20 × 166,319.60
  4. Step 4: Simplify right side
    390,851.60x = 97,520,200,167.12
  5. Step 5: Solve for x
    x = 97,520,200,167.12/390,851.60
  6. Step 6: Final answer
    x = 249,506.97

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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.