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Finding the Fourth Proportional to 290,106.54, 435,332.34 and 156,984.12

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Solution

The fourth proportional to 290,106.54, 435,332.34 and 156,984.12 is: 235,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,106.54 : 435,332.34 = 156,984.12 : x
  2. Step 2: Convert to fraction form
    290,106.54/435,332.34 = 156,984.12/x
  3. Step 3: Cross multiply
    290,106.54x = 435,332.34 × 156,984.12
  4. Step 4: Simplify right side
    290,106.54x = 68,340,264,302.44
  5. Step 5: Solve for x
    x = 68,340,264,302.44/290,106.54
  6. Step 6: Final answer
    x = 235,569.54

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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.