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Finding the Fourth Proportional to 511,345.80, 767,364.30 and 286,705.80

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Solution

The fourth proportional to 511,345.80, 767,364.30 and 286,705.80 is: 430,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,345.80 : 767,364.30 = 286,705.80 : x
  2. Step 2: Convert to fraction form
    511,345.80/767,364.30 = 286,705.80/x
  3. Step 3: Cross multiply
    511,345.80x = 767,364.30 × 286,705.80
  4. Step 4: Simplify right side
    511,345.80x = 220,007,795,522.94
  5. Step 5: Solve for x
    x = 220,007,795,522.94/511,345.80
  6. Step 6: Final answer
    x = 430,252.47

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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.