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Finding the Fourth Proportional to 389,558.40, 584,337.60 and 212,411.40

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Solution

The fourth proportional to 389,558.40, 584,337.60 and 212,411.40 is: 318,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,558.40 : 584,337.60 = 212,411.40 : x
  2. Step 2: Convert to fraction form
    389,558.40/584,337.60 = 212,411.40/x
  3. Step 3: Cross multiply
    389,558.40x = 584,337.60 × 212,411.40
  4. Step 4: Simplify right side
    389,558.40x = 124,119,967,688.64
  5. Step 5: Solve for x
    x = 124,119,967,688.64/389,558.40
  6. Step 6: Final answer
    x = 318,617.10

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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.