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Finding the Fourth Proportional to 590,315,972.80, 886,009,336.80 and 299,385,486.40

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Solution

The fourth proportional to 590,315,972.80, 886,009,336.80 and 299,385,486.40 is: 449,349,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,315,972.80 : 886,009,336.80 = 299,385,486.40 : x
  2. Step 2: Convert to fraction form
    590,315,972.80/886,009,336.80 = 299,385,486.40/x
  3. Step 3: Cross multiply
    590,315,972.80x = 886,009,336.80 × 299,385,486.40
  4. Step 4: Simplify right side
    590,315,972.80x = 265,258,336,252,809,376
  5. Step 5: Solve for x
    x = 265,258,336,252,809,376/590,315,972.80
  6. Step 6: Final answer
    x = 449,349,752.46

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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.