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Finding the Fourth Proportional to 508,984.43, 702,727.13 and 315,597.47

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Solution

The fourth proportional to 508,984.43, 702,727.13 and 315,597.47 is: 435,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,984.43 : 702,727.13 = 315,597.47 : x
  2. Step 2: Convert to fraction form
    508,984.43/702,727.13 = 315,597.47/x
  3. Step 3: Cross multiply
    508,984.43x = 702,727.13 × 315,597.47
  4. Step 4: Simplify right side
    508,984.43x = 221,778,902,750.37
  5. Step 5: Solve for x
    x = 221,778,902,750.37/508,984.43
  6. Step 6: Final answer
    x = 435,728.27

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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.