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Finding the Fourth Proportional to 777,948, 1,073,569.28 and 420,252

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Solution

The fourth proportional to 777,948, 1,073,569.28 and 420,252 is: 579,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,948 : 1,073,569.28 = 420,252 : x
  2. Step 2: Convert to fraction form
    777,948/1,073,569.28 = 420,252/x
  3. Step 3: Cross multiply
    777,948x = 1,073,569.28 × 420,252
  4. Step 4: Simplify right side
    777,948x = 451,169,637,058.56
  5. Step 5: Solve for x
    x = 451,169,637,058.56/777,948
  6. Step 6: Final answer
    x = 579,948.32

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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.