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Finding the Fourth Proportional to 290,978,083.89, 402,075,014.99 and 207,200,767.77

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Solution

The fourth proportional to 290,978,083.89, 402,075,014.99 and 207,200,767.77 is: 286,311,088.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,978,083.89 : 402,075,014.99 = 207,200,767.77 : x
  2. Step 2: Convert to fraction form
    290,978,083.89/402,075,014.99 = 207,200,767.77/x
  3. Step 3: Cross multiply
    290,978,083.89x = 402,075,014.99 × 207,200,767.77
  4. Step 4: Simplify right side
    290,978,083.89x = 83,310,251,806,026,256
  5. Step 5: Solve for x
    x = 83,310,251,806,026,256/290,978,083.89
  6. Step 6: Final answer
    x = 286,311,088.08

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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.