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Finding the Fourth Proportional to 278,112,334.80, 390,163,484.40 and 278,112,334.80

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Solution

The fourth proportional to 278,112,334.80, 390,163,484.40 and 278,112,334.80 is: 390,163,484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,112,334.80 : 390,163,484.40 = 278,112,334.80 : x
  2. Step 2: Convert to fraction form
    278,112,334.80/390,163,484.40 = 278,112,334.80/x
  3. Step 3: Cross multiply
    278,112,334.80x = 390,163,484.40 × 278,112,334.80
  4. Step 4: Simplify right side
    278,112,334.80x = 108,509,277,600,187,376
  5. Step 5: Solve for x
    x = 108,509,277,600,187,376/278,112,334.80
  6. Step 6: Final answer
    x = 390,163,484.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.