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Finding the Fourth Proportional to 401,805.60, 602,708.48 and 313,125.52

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Solution

The fourth proportional to 401,805.60, 602,708.48 and 313,125.52 is: 469,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,805.60 : 602,708.48 = 313,125.52 : x
  2. Step 2: Convert to fraction form
    401,805.60/602,708.48 = 313,125.52/x
  3. Step 3: Cross multiply
    401,805.60x = 602,708.48 × 313,125.52
  4. Step 4: Simplify right side
    401,805.60x = 188,723,406,208.41
  5. Step 5: Solve for x
    x = 188,723,406,208.41/401,805.60
  6. Step 6: Final answer
    x = 469,688.34

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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.