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Finding the Fourth Proportional to 840,057, 1,159,307.84 and 477,496.16

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Solution

The fourth proportional to 840,057, 1,159,307.84 and 477,496.16 is: 658,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,057 : 1,159,307.84 = 477,496.16 : x
  2. Step 2: Convert to fraction form
    840,057/1,159,307.84 = 477,496.16/x
  3. Step 3: Cross multiply
    840,057x = 1,159,307.84 × 477,496.16
  4. Step 4: Simplify right side
    840,057x = 553,565,041,857.89
  5. Step 5: Solve for x
    x = 553,565,041,857.89/840,057
  6. Step 6: Final answer
    x = 658,961.29

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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.