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Finding the Fourth Proportional to 680,653.80, 1,020,980.70 and 653,005.80

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Solution

The fourth proportional to 680,653.80, 1,020,980.70 and 653,005.80 is: 979,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,653.80 : 1,020,980.70 = 653,005.80 : x
  2. Step 2: Convert to fraction form
    680,653.80/1,020,980.70 = 653,005.80/x
  3. Step 3: Cross multiply
    680,653.80x = 1,020,980.70 × 653,005.80
  4. Step 4: Simplify right side
    680,653.80x = 666,706,318,788.06
  5. Step 5: Solve for x
    x = 666,706,318,788.06/680,653.80
  6. Step 6: Final answer
    x = 979,508.70

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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.