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Finding the Fourth Proportional to 418,258, 577,199.55 and 227,271.40

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Solution

The fourth proportional to 418,258, 577,199.55 and 227,271.40 is: 313,636.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,258 : 577,199.55 = 227,271.40 : x
  2. Step 2: Convert to fraction form
    418,258/577,199.55 = 227,271.40/x
  3. Step 3: Cross multiply
    418,258x = 577,199.55 × 227,271.40
  4. Step 4: Simplify right side
    418,258x = 131,180,949,807.87
  5. Step 5: Solve for x
    x = 131,180,949,807.87/418,258
  6. Step 6: Final answer
    x = 313,636.44

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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.