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Finding the Fourth Proportional to 315,779.40, 435,968.64 and 205,503.12

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Solution

The fourth proportional to 315,779.40, 435,968.64 and 205,503.12 is: 283,719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,779.40 : 435,968.64 = 205,503.12 : x
  2. Step 2: Convert to fraction form
    315,779.40/435,968.64 = 205,503.12/x
  3. Step 3: Cross multiply
    315,779.40x = 435,968.64 × 205,503.12
  4. Step 4: Simplify right side
    315,779.40x = 89,592,915,742.16
  5. Step 5: Solve for x
    x = 89,592,915,742.16/315,779.40
  6. Step 6: Final answer
    x = 283,719.95

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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.