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Finding the Fourth Proportional to 774,940,720.32, 1,069,426,557 and 422,513,851.32

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Solution

The fourth proportional to 774,940,720.32, 1,069,426,557 and 422,513,851.32 is: 583,073,674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,940,720.32 : 1,069,426,557 = 422,513,851.32 : x
  2. Step 2: Convert to fraction form
    774,940,720.32/1,069,426,557 = 422,513,851.32/x
  3. Step 3: Cross multiply
    774,940,720.32x = 1,069,426,557 × 422,513,851.32
  4. Step 4: Simplify right side
    774,940,720.32x = 451,847,533,301,957,504
  5. Step 5: Solve for x
    x = 451,847,533,301,957,504/774,940,720.32
  6. Step 6: Final answer
    x = 583,073,674.48

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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.