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Finding the Fourth Proportional to 470,903.68, 649,855.20 and 256,045.20

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Solution

The fourth proportional to 470,903.68, 649,855.20 and 256,045.20 is: 353,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,903.68 : 649,855.20 = 256,045.20 : x
  2. Step 2: Convert to fraction form
    470,903.68/649,855.20 = 256,045.20/x
  3. Step 3: Cross multiply
    470,903.68x = 649,855.20 × 256,045.20
  4. Step 4: Simplify right side
    470,903.68x = 166,392,304,655.04
  5. Step 5: Solve for x
    x = 166,392,304,655.04/470,903.68
  6. Step 6: Final answer
    x = 353,346.79

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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.