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Finding the Fourth Proportional to 470,678.51, 649,536.44 and 255,818.59

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Solution

The fourth proportional to 470,678.51, 649,536.44 and 255,818.59 is: 353,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,678.51 : 649,536.44 = 255,818.59 : x
  2. Step 2: Convert to fraction form
    470,678.51/649,536.44 = 255,818.59/x
  3. Step 3: Cross multiply
    470,678.51x = 649,536.44 × 255,818.59
  4. Step 4: Simplify right side
    470,678.51x = 166,163,493,331.49
  5. Step 5: Solve for x
    x = 166,163,493,331.49/470,678.51
  6. Step 6: Final answer
    x = 353,029.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.