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Finding the Fourth Proportional to 472,927.61, 653,350.94 and 309,970.79

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Solution

The fourth proportional to 472,927.61, 653,350.94 and 309,970.79 is: 428,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,927.61 : 653,350.94 = 309,970.79 : x
  2. Step 2: Convert to fraction form
    472,927.61/653,350.94 = 309,970.79/x
  3. Step 3: Cross multiply
    472,927.61x = 653,350.94 × 309,970.79
  4. Step 4: Simplify right side
    472,927.61x = 202,519,705,469.19
  5. Step 5: Solve for x
    x = 202,519,705,469.19/472,927.61
  6. Step 6: Final answer
    x = 428,225.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.