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Finding the Fourth Proportional to 421,356.51, 581,477.67 and 230,369.49

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Solution

The fourth proportional to 421,356.51, 581,477.67 and 230,369.49 is: 317,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,356.51 : 581,477.67 = 230,369.49 : x
  2. Step 2: Convert to fraction form
    421,356.51/581,477.67 = 230,369.49/x
  3. Step 3: Cross multiply
    421,356.51x = 581,477.67 × 230,369.49
  4. Step 4: Simplify right side
    421,356.51x = 133,954,714,284.29
  5. Step 5: Solve for x
    x = 133,954,714,284.29/421,356.51
  6. Step 6: Final answer
    x = 317,913.01

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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.