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Finding the Fourth Proportional to 425,320.80, 638,672.40 and 307,816.80

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Solution

The fourth proportional to 425,320.80, 638,672.40 and 307,816.80 is: 462,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,320.80 : 638,672.40 = 307,816.80 : x
  2. Step 2: Convert to fraction form
    425,320.80/638,672.40 = 307,816.80/x
  3. Step 3: Cross multiply
    425,320.80x = 638,672.40 × 307,816.80
  4. Step 4: Simplify right side
    425,320.80x = 196,594,094,416.32
  5. Step 5: Solve for x
    x = 196,594,094,416.32/425,320.80
  6. Step 6: Final answer
    x = 462,225.44

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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.