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Finding the Fourth Proportional to 421,041.83, 581,041.80 and 230,055.21

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Solution

The fourth proportional to 421,041.83, 581,041.80 and 230,055.21 is: 317,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,041.83 : 581,041.80 = 230,055.21 : x
  2. Step 2: Convert to fraction form
    421,041.83/581,041.80 = 230,055.21/x
  3. Step 3: Cross multiply
    421,041.83x = 581,041.80 × 230,055.21
  4. Step 4: Simplify right side
    421,041.83x = 133,671,693,317.78
  5. Step 5: Solve for x
    x = 133,671,693,317.78/421,041.83
  6. Step 6: Final answer
    x = 317,478.42

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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.