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Finding the Fourth Proportional to 561,445,082.55, 774,742,218.54 and 310,544,074.29

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Solution

The fourth proportional to 561,445,082.55, 774,742,218.54 and 310,544,074.29 is: 428,522,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,445,082.55 : 774,742,218.54 = 310,544,074.29 : x
  2. Step 2: Convert to fraction form
    561,445,082.55/774,742,218.54 = 310,544,074.29/x
  3. Step 3: Cross multiply
    561,445,082.55x = 774,742,218.54 × 310,544,074.29
  4. Step 4: Simplify right side
    561,445,082.55x = 240,591,605,069,885,184
  5. Step 5: Solve for x
    x = 240,591,605,069,885,184/561,445,082.55
  6. Step 6: Final answer
    x = 428,522,063.06

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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.