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Finding the Fourth Proportional to 560,360,778.80, 839,407,427.40 and 388,032,177.20

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Solution

The fourth proportional to 560,360,778.80, 839,407,427.40 and 388,032,177.20 is: 581,263,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,360,778.80 : 839,407,427.40 = 388,032,177.20 : x
  2. Step 2: Convert to fraction form
    560,360,778.80/839,407,427.40 = 388,032,177.20/x
  3. Step 3: Cross multiply
    560,360,778.80x = 839,407,427.40 × 388,032,177.20
  4. Step 4: Simplify right side
    560,360,778.80x = 325,717,091,611,872,896
  5. Step 5: Solve for x
    x = 325,717,091,611,872,896/560,360,778.80
  6. Step 6: Final answer
    x = 581,263,186.03

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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.