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Finding the Fourth Proportional to 478,285.66, 716,936.40 and 212,171.50

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Solution

The fourth proportional to 478,285.66, 716,936.40 and 212,171.50 is: 318,038.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,285.66 : 716,936.40 = 212,171.50 : x
  2. Step 2: Convert to fraction form
    478,285.66/716,936.40 = 212,171.50/x
  3. Step 3: Cross multiply
    478,285.66x = 716,936.40 × 212,171.50
  4. Step 4: Simplify right side
    478,285.66x = 152,113,471,392.60
  5. Step 5: Solve for x
    x = 152,113,471,392.60/478,285.66
  6. Step 6: Final answer
    x = 318,038.95

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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.