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Finding the Fourth Proportional to 470,726.40, 649,751.04 and 300,961.20

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Solution

The fourth proportional to 470,726.40, 649,751.04 and 300,961.20 is: 415,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,726.40 : 649,751.04 = 300,961.20 : x
  2. Step 2: Convert to fraction form
    470,726.40/649,751.04 = 300,961.20/x
  3. Step 3: Cross multiply
    470,726.40x = 649,751.04 × 300,961.20
  4. Step 4: Simplify right side
    470,726.40x = 195,549,852,699.65
  5. Step 5: Solve for x
    x = 195,549,852,699.65/470,726.40
  6. Step 6: Final answer
    x = 415,421.47

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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.