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Finding the Fourth Proportional to 470,906.88, 649,849.95 and 256,045.20

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Solution

The fourth proportional to 470,906.88, 649,849.95 and 256,045.20 is: 353,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,906.88 : 649,849.95 = 256,045.20 : x
  2. Step 2: Convert to fraction form
    470,906.88/649,849.95 = 256,045.20/x
  3. Step 3: Cross multiply
    470,906.88x = 649,849.95 × 256,045.20
  4. Step 4: Simplify right side
    470,906.88x = 166,390,960,417.74
  5. Step 5: Solve for x
    x = 166,390,960,417.74/470,906.88
  6. Step 6: Final answer
    x = 353,341.54

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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.