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Finding the Fourth Proportional to 426,407.04, 640,012.48 and 313,743.84

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Solution

The fourth proportional to 426,407.04, 640,012.48 and 313,743.84 is: 470,911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,407.04 : 640,012.48 = 313,743.84 : x
  2. Step 2: Convert to fraction form
    426,407.04/640,012.48 = 313,743.84/x
  3. Step 3: Cross multiply
    426,407.04x = 640,012.48 × 313,743.84
  4. Step 4: Simplify right side
    426,407.04x = 200,799,973,123.12
  5. Step 5: Solve for x
    x = 200,799,973,123.12/426,407.04
  6. Step 6: Final answer
    x = 470,911.49

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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.