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Finding the Fourth Proportional to 419,519.66, 578,931.91 and 228,528.95

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Solution

The fourth proportional to 419,519.66, 578,931.91 and 228,528.95 is: 315,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,519.66 : 578,931.91 = 228,528.95 : x
  2. Step 2: Convert to fraction form
    419,519.66/578,931.91 = 228,528.95/x
  3. Step 3: Cross multiply
    419,519.66x = 578,931.91 × 228,528.95
  4. Step 4: Simplify right side
    419,519.66x = 132,302,698,047.81
  5. Step 5: Solve for x
    x = 132,302,698,047.81/419,519.66
  6. Step 6: Final answer
    x = 315,367.10

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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.