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Finding the Fourth Proportional to 578,047,878.69, 797,706,862.53 and 313,729,875.80

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Solution

The fourth proportional to 578,047,878.69, 797,706,862.53 and 313,729,875.80 is: 432,947,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,047,878.69 : 797,706,862.53 = 313,729,875.80 : x
  2. Step 2: Convert to fraction form
    578,047,878.69/797,706,862.53 = 313,729,875.80/x
  3. Step 3: Cross multiply
    578,047,878.69x = 797,706,862.53 × 313,729,875.80
  4. Step 4: Simplify right side
    578,047,878.69x = 250,264,474,906,344,576
  5. Step 5: Solve for x
    x = 250,264,474,906,344,576/578,047,878.69
  6. Step 6: Final answer
    x = 432,947,657.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.