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Finding the Fourth Proportional to 390,213, 538,493.94 and 211,365

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Solution

The fourth proportional to 390,213, 538,493.94 and 211,365 is: 291,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,213 : 538,493.94 = 211,365 : x
  2. Step 2: Convert to fraction form
    390,213/538,493.94 = 211,365/x
  3. Step 3: Cross multiply
    390,213x = 538,493.94 × 211,365
  4. Step 4: Simplify right side
    390,213x = 113,818,771,628.10
  5. Step 5: Solve for x
    x = 113,818,771,628.10/390,213
  6. Step 6: Final answer
    x = 291,683.70

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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.