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Finding the Fourth Proportional to 385,233, 531,623.61 and 215,467.08

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Solution

The fourth proportional to 385,233, 531,623.61 and 215,467.08 is: 297,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,233 : 531,623.61 = 215,467.08 : x
  2. Step 2: Convert to fraction form
    385,233/531,623.61 = 215,467.08/x
  3. Step 3: Cross multiply
    385,233x = 531,623.61 × 215,467.08
  4. Step 4: Simplify right side
    385,233x = 114,547,386,905.76
  5. Step 5: Solve for x
    x = 114,547,386,905.76/385,233
  6. Step 6: Final answer
    x = 297,345.73

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1.5x scale

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.