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Finding the Fourth Proportional to 381,307,205.80, 572,013,952.80 and 162,955,813.60

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Solution

The fourth proportional to 381,307,205.80, 572,013,952.80 and 162,955,813.60 is: 244,456,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,307,205.80 : 572,013,952.80 = 162,955,813.60 : x
  2. Step 2: Convert to fraction form
    381,307,205.80/572,013,952.80 = 162,955,813.60/x
  3. Step 3: Cross multiply
    381,307,205.80x = 572,013,952.80 × 162,955,813.60
  4. Step 4: Simplify right side
    381,307,205.80x = 93,212,999,069,075,984
  5. Step 5: Solve for x
    x = 93,212,999,069,075,984/381,307,205.80
  6. Step 6: Final answer
    x = 244,456,432.11

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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.