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Finding the Fourth Proportional to 646,553.80, 970,162.86 and 286,971.16

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Solution

The fourth proportional to 646,553.80, 970,162.86 and 286,971.16 is: 430,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,553.80 : 970,162.86 = 286,971.16 : x
  2. Step 2: Convert to fraction form
    646,553.80/970,162.86 = 286,971.16/x
  3. Step 3: Cross multiply
    646,553.80x = 970,162.86 × 286,971.16
  4. Step 4: Simplify right side
    646,553.80x = 278,408,761,323.12
  5. Step 5: Solve for x
    x = 278,408,761,323.12/646,553.80
  6. Step 6: Final answer
    x = 430,604.17

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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.