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Finding the Fourth Proportional to 857,752,823.20, 1,286,629,234.80 and 714,901,482.40

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Solution

The fourth proportional to 857,752,823.20, 1,286,629,234.80 and 714,901,482.40 is: 1,072,352,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,752,823.20 : 1,286,629,234.80 = 714,901,482.40 : x
  2. Step 2: Convert to fraction form
    857,752,823.20/1,286,629,234.80 = 714,901,482.40/x
  3. Step 3: Cross multiply
    857,752,823.20x = 1,286,629,234.80 × 714,901,482.40
  4. Step 4: Simplify right side
    857,752,823.20x = 919,813,147,257,697,664
  5. Step 5: Solve for x
    x = 919,813,147,257,697,664/857,752,823.20
  6. Step 6: Final answer
    x = 1,072,352,223.60

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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.