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Finding the Fourth Proportional to 306,778.69, 423,374.95 and 185,931.45

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Solution

The fourth proportional to 306,778.69, 423,374.95 and 185,931.45 is: 256,597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,778.69 : 423,374.95 = 185,931.45 : x
  2. Step 2: Convert to fraction form
    306,778.69/423,374.95 = 185,931.45/x
  3. Step 3: Cross multiply
    306,778.69x = 423,374.95 × 185,931.45
  4. Step 4: Simplify right side
    306,778.69x = 78,718,718,579.59
  5. Step 5: Solve for x
    x = 78,718,718,579.59/306,778.69
  6. Step 6: Final answer
    x = 256,597.74

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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.