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Finding the Fourth Proportional to 652,828,803.40, 978,676,334.70 and 393,769,030.60

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Solution

The fourth proportional to 652,828,803.40, 978,676,334.70 and 393,769,030.60 is: 590,311,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,828,803.40 : 978,676,334.70 = 393,769,030.60 : x
  2. Step 2: Convert to fraction form
    652,828,803.40/978,676,334.70 = 393,769,030.60/x
  3. Step 3: Cross multiply
    652,828,803.40x = 978,676,334.70 × 393,769,030.60
  4. Step 4: Simplify right side
    652,828,803.40x = 385,372,431,585,980,160
  5. Step 5: Solve for x
    x = 385,372,431,585,980,160/652,828,803.40
  6. Step 6: Final answer
    x = 590,311,624.70

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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.