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Finding the Fourth Proportional to 478,326.16, 716,996.94 and 212,212

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Solution

The fourth proportional to 478,326.16, 716,996.94 and 212,212 is: 318,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,326.16 : 716,996.94 = 212,212 : x
  2. Step 2: Convert to fraction form
    478,326.16/716,996.94 = 212,212/x
  3. Step 3: Cross multiply
    478,326.16x = 716,996.94 × 212,212
  4. Step 4: Simplify right side
    478,326.16x = 152,155,354,631.28
  5. Step 5: Solve for x
    x = 152,155,354,631.28/478,326.16
  6. Step 6: Final answer
    x = 318,099.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.