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Finding the Fourth Proportional to 311,892, 430,384.80 and 184,545.28

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Solution

The fourth proportional to 311,892, 430,384.80 and 184,545.28 is: 254,657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,892 : 430,384.80 = 184,545.28 : x
  2. Step 2: Convert to fraction form
    311,892/430,384.80 = 184,545.28/x
  3. Step 3: Cross multiply
    311,892x = 430,384.80 × 184,545.28
  4. Step 4: Simplify right side
    311,892x = 79,425,483,423.74
  5. Step 5: Solve for x
    x = 79,425,483,423.74/311,892
  6. Step 6: Final answer
    x = 254,657.01

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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.