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Finding the Fourth Proportional to 921,664, 1,271,896.32 and 497,728

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Solution

The fourth proportional to 921,664, 1,271,896.32 and 497,728 is: 686,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,664 : 1,271,896.32 = 497,728 : x
  2. Step 2: Convert to fraction form
    921,664/1,271,896.32 = 497,728/x
  3. Step 3: Cross multiply
    921,664x = 1,271,896.32 × 497,728
  4. Step 4: Simplify right side
    921,664x = 633,058,411,560.96
  5. Step 5: Solve for x
    x = 633,058,411,560.96/921,664
  6. Step 6: Final answer
    x = 686,864.64

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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.