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Finding the Fourth Proportional to 313,689.80, 470,534.70 and 77,029.40

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Solution

The fourth proportional to 313,689.80, 470,534.70 and 77,029.40 is: 115,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,689.80 : 470,534.70 = 77,029.40 : x
  2. Step 2: Convert to fraction form
    313,689.80/470,534.70 = 77,029.40/x
  3. Step 3: Cross multiply
    313,689.80x = 470,534.70 × 77,029.40
  4. Step 4: Simplify right side
    313,689.80x = 36,245,005,620.18
  5. Step 5: Solve for x
    x = 36,245,005,620.18/313,689.80
  6. Step 6: Final answer
    x = 115,544.10

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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.