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Finding the Fourth Proportional to 470,254.98, 649,220.84 and 309,577.11

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Solution

The fourth proportional to 470,254.98, 649,220.84 and 309,577.11 is: 427,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,254.98 : 649,220.84 = 309,577.11 : x
  2. Step 2: Convert to fraction form
    470,254.98/649,220.84 = 309,577.11/x
  3. Step 3: Cross multiply
    470,254.98x = 649,220.84 × 309,577.11
  4. Step 4: Simplify right side
    470,254.98x = 200,983,908,577.42
  5. Step 5: Solve for x
    x = 200,983,908,577.42/470,254.98
  6. Step 6: Final answer
    x = 427,393.47

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1.5x scale

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.