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Finding the Fourth Proportional to 413,576.10, 620,364.15 and 376,178.40

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Solution

The fourth proportional to 413,576.10, 620,364.15 and 376,178.40 is: 564,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,576.10 : 620,364.15 = 376,178.40 : x
  2. Step 2: Convert to fraction form
    413,576.10/620,364.15 = 376,178.40/x
  3. Step 3: Cross multiply
    413,576.10x = 620,364.15 × 376,178.40
  4. Step 4: Simplify right side
    413,576.10x = 233,367,593,364.36
  5. Step 5: Solve for x
    x = 233,367,593,364.36/413,576.10
  6. Step 6: Final answer
    x = 564,267.60

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1.5x scale

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.