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Finding the Fourth Proportional to 707,780.80, 1,061,664.60 and 286,956.64

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Solution

The fourth proportional to 707,780.80, 1,061,664.60 and 286,956.64 is: 430,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,780.80 : 1,061,664.60 = 286,956.64 : x
  2. Step 2: Convert to fraction form
    707,780.80/1,061,664.60 = 286,956.64/x
  3. Step 3: Cross multiply
    707,780.80x = 1,061,664.60 × 286,956.64
  4. Step 4: Simplify right side
    707,780.80x = 304,651,706,422.94
  5. Step 5: Solve for x
    x = 304,651,706,422.94/707,780.80
  6. Step 6: Final answer
    x = 430,432.28

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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.