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Finding the Fourth Proportional to 511,213.53, 705,527.16 and 307,330.45

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Solution

The fourth proportional to 511,213.53, 705,527.16 and 307,330.45 is: 424,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,213.53 : 705,527.16 = 307,330.45 : x
  2. Step 2: Convert to fraction form
    511,213.53/705,527.16 = 307,330.45/x
  3. Step 3: Cross multiply
    511,213.53x = 705,527.16 × 307,330.45
  4. Step 4: Simplify right side
    511,213.53x = 216,829,979,570.02
  5. Step 5: Solve for x
    x = 216,829,979,570.02/511,213.53
  6. Step 6: Final answer
    x = 424,147.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.