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Finding the Fourth Proportional to 1,255,905.30, 1,761,416.70 and 1,255,905.30

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Solution

The fourth proportional to 1,255,905.30, 1,761,416.70 and 1,255,905.30 is: 1,761,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255,905.30 : 1,761,416.70 = 1,255,905.30 : x
  2. Step 2: Convert to fraction form
    1,255,905.30/1,761,416.70 = 1,255,905.30/x
  3. Step 3: Cross multiply
    1,255,905.30x = 1,761,416.70 × 1,255,905.30
  4. Step 4: Simplify right side
    1,255,905.30x = 2,212,172,569,038.51
  5. Step 5: Solve for x
    x = 2,212,172,569,038.51/1,255,905.30
  6. Step 6: Final answer
    x = 1,761,416.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.