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Finding the Fourth Proportional to 993,728, 1,490,592.48 and 319,809.28

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Solution

The fourth proportional to 993,728, 1,490,592.48 and 319,809.28 is: 479,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,728 : 1,490,592.48 = 319,809.28 : x
  2. Step 2: Convert to fraction form
    993,728/1,490,592.48 = 319,809.28/x
  3. Step 3: Cross multiply
    993,728x = 1,490,592.48 × 319,809.28
  4. Step 4: Simplify right side
    993,728x = 476,705,307,802.21
  5. Step 5: Solve for x
    x = 476,705,307,802.21/993,728
  6. Step 6: Final answer
    x = 479,714.07

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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.