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Finding the Fourth Proportional to 235,854.40, 353,263.20 and 142,196.80

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Solution

The fourth proportional to 235,854.40, 353,263.20 and 142,196.80 is: 212,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,854.40 : 353,263.20 = 142,196.80 : x
  2. Step 2: Convert to fraction form
    235,854.40/353,263.20 = 142,196.80/x
  3. Step 3: Cross multiply
    235,854.40x = 353,263.20 × 142,196.80
  4. Step 4: Simplify right side
    235,854.40x = 50,232,896,597.76
  5. Step 5: Solve for x
    x = 50,232,896,597.76/235,854.40
  6. Step 6: Final answer
    x = 212,982.66

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1.5x scale

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.