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Finding the Fourth Proportional to 525,311,999.80, 787,967,999.70 and 238,657,535.80

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Solution

The fourth proportional to 525,311,999.80, 787,967,999.70 and 238,657,535.80 is: 357,986,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,311,999.80 : 787,967,999.70 = 238,657,535.80 : x
  2. Step 2: Convert to fraction form
    525,311,999.80/787,967,999.70 = 238,657,535.80/x
  3. Step 3: Cross multiply
    525,311,999.80x = 787,967,999.70 × 238,657,535.80
  4. Step 4: Simplify right side
    525,311,999.80x = 188,054,501,097,657,152
  5. Step 5: Solve for x
    x = 188,054,501,097,657,152/525,311,999.80
  6. Step 6: Final answer
    x = 357,986,303.70

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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.