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Finding the Fourth Proportional to 680,783.81, 1,020,702.83 and 301,497.84

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Solution

The fourth proportional to 680,783.81, 1,020,702.83 and 301,497.84 is: 452,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,783.81 : 1,020,702.83 = 301,497.84 : x
  2. Step 2: Convert to fraction form
    680,783.81/1,020,702.83 = 301,497.84/x
  3. Step 3: Cross multiply
    680,783.81x = 1,020,702.83 × 301,497.84
  4. Step 4: Simplify right side
    680,783.81x = 307,739,697,019.40
  5. Step 5: Solve for x
    x = 307,739,697,019.40/680,783.81
  6. Step 6: Final answer
    x = 452,037.34

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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.