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Finding the Fourth Proportional to 417,360.42, 624,640.95 and 342,477.54

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Solution

The fourth proportional to 417,360.42, 624,640.95 and 342,477.54 is: 512,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,360.42 : 624,640.95 = 342,477.54 : x
  2. Step 2: Convert to fraction form
    417,360.42/624,640.95 = 342,477.54/x
  3. Step 3: Cross multiply
    417,360.42x = 624,640.95 × 342,477.54
  4. Step 4: Simplify right side
    417,360.42x = 213,925,495,939.26
  5. Step 5: Solve for x
    x = 213,925,495,939.26/417,360.42
  6. Step 6: Final answer
    x = 512,567.76

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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.