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Finding the Fourth Proportional to 208,630.06, 312,458.40 and 152,330.53

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Solution

The fourth proportional to 208,630.06, 312,458.40 and 152,330.53 is: 228,140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,630.06 : 312,458.40 = 152,330.53 : x
  2. Step 2: Convert to fraction form
    208,630.06/312,458.40 = 152,330.53/x
  3. Step 3: Cross multiply
    208,630.06x = 312,458.40 × 152,330.53
  4. Step 4: Simplify right side
    208,630.06x = 47,596,953,485.15
  5. Step 5: Solve for x
    x = 47,596,953,485.15/208,630.06
  6. Step 6: Final answer
    x = 228,140.44

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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.