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Finding the Fourth Proportional to 511,300, 767,062.50 and 151,442.92

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Solution

The fourth proportional to 511,300, 767,062.50 and 151,442.92 is: 227,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,300 : 767,062.50 = 151,442.92 : x
  2. Step 2: Convert to fraction form
    511,300/767,062.50 = 151,442.92/x
  3. Step 3: Cross multiply
    511,300x = 767,062.50 × 151,442.92
  4. Step 4: Simplify right side
    511,300x = 116,166,184,822.50
  5. Step 5: Solve for x
    x = 116,166,184,822.50/511,300
  6. Step 6: Final answer
    x = 227,197.70

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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.