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Finding the Fourth Proportional to 223,875.20, 313,840 and 223,875.20

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Solution

The fourth proportional to 223,875.20, 313,840 and 223,875.20 is: 313,840

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,875.20 : 313,840 = 223,875.20 : x
  2. Step 2: Convert to fraction form
    223,875.20/313,840 = 223,875.20/x
  3. Step 3: Cross multiply
    223,875.20x = 313,840 × 223,875.20
  4. Step 4: Simplify right side
    223,875.20x = 70,260,992,768
  5. Step 5: Solve for x
    x = 70,260,992,768/223,875.20
  6. Step 6: Final answer
    x = 313,840

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.