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Finding the Fourth Proportional to 425,013.16, 637,913.04 and 214,798.72

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Solution

The fourth proportional to 425,013.16, 637,913.04 and 214,798.72 is: 322,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,013.16 : 637,913.04 = 214,798.72 : x
  2. Step 2: Convert to fraction form
    425,013.16/637,913.04 = 214,798.72/x
  3. Step 3: Cross multiply
    425,013.16x = 637,913.04 × 214,798.72
  4. Step 4: Simplify right side
    425,013.16x = 137,022,904,463.31
  5. Step 5: Solve for x
    x = 137,022,904,463.31/425,013.16
  6. Step 6: Final answer
    x = 322,396.85

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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.