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Finding the Fourth Proportional to 511,212.53, 705,525.78 and 307,329.45

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Solution

The fourth proportional to 511,212.53, 705,525.78 and 307,329.45 is: 424,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,212.53 : 705,525.78 = 307,329.45 : x
  2. Step 2: Convert to fraction form
    511,212.53/705,525.78 = 307,329.45/x
  3. Step 3: Cross multiply
    511,212.53x = 705,525.78 × 307,329.45
  4. Step 4: Simplify right side
    511,212.53x = 216,828,849,928.22
  5. Step 5: Solve for x
    x = 216,828,849,928.22/511,212.53
  6. Step 6: Final answer
    x = 424,146.20

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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.