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Finding the Fourth Proportional to 511,507.42, 767,420.38 and 151,680.18

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Solution

The fourth proportional to 511,507.42, 767,420.38 and 151,680.18 is: 227,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,507.42 : 767,420.38 = 151,680.18 : x
  2. Step 2: Convert to fraction form
    511,507.42/767,420.38 = 151,680.18/x
  3. Step 3: Cross multiply
    511,507.42x = 767,420.38 × 151,680.18
  4. Step 4: Simplify right side
    511,507.42x = 116,402,464,441.50
  5. Step 5: Solve for x
    x = 116,402,464,441.50/511,507.42
  6. Step 6: Final answer
    x = 227,567.50

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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.