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Finding the Fourth Proportional to 390,817, 585,899.10 and 166,353.64

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Solution

The fourth proportional to 390,817, 585,899.10 and 166,353.64 is: 249,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,817 : 585,899.10 = 166,353.64 : x
  2. Step 2: Convert to fraction form
    390,817/585,899.10 = 166,353.64/x
  3. Step 3: Cross multiply
    390,817x = 585,899.10 × 166,353.64
  4. Step 4: Simplify right side
    390,817x = 97,466,447,957.72
  5. Step 5: Solve for x
    x = 97,466,447,957.72/390,817
  6. Step 6: Final answer
    x = 249,391.53

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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.