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Finding the Fourth Proportional to 472,530.80, 707,629.80 and 313,900.40

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Solution

The fourth proportional to 472,530.80, 707,629.80 and 313,900.40 is: 470,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,530.80 : 707,629.80 = 313,900.40 : x
  2. Step 2: Convert to fraction form
    472,530.80/707,629.80 = 313,900.40/x
  3. Step 3: Cross multiply
    472,530.80x = 707,629.80 × 313,900.40
  4. Step 4: Simplify right side
    472,530.80x = 222,125,277,271.92
  5. Step 5: Solve for x
    x = 222,125,277,271.92/472,530.80
  6. Step 6: Final answer
    x = 470,075.76

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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.