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Finding the Fourth Proportional to 431,503.33, 648,673.93 and 400,290.20

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Solution

The fourth proportional to 431,503.33, 648,673.93 and 400,290.20 is: 601,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,503.33 : 648,673.93 = 400,290.20 : x
  2. Step 2: Convert to fraction form
    431,503.33/648,673.93 = 400,290.20/x
  3. Step 3: Cross multiply
    431,503.33x = 648,673.93 × 400,290.20
  4. Step 4: Simplify right side
    431,503.33x = 259,657,817,174.49
  5. Step 5: Solve for x
    x = 259,657,817,174.49/431,503.33
  6. Step 6: Final answer
    x = 601,751.60

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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.