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Finding the Fourth Proportional to 470,149.76, 648,809.33 and 255,289.89

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Solution

The fourth proportional to 470,149.76, 648,809.33 and 255,289.89 is: 352,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,149.76 : 648,809.33 = 255,289.89 : x
  2. Step 2: Convert to fraction form
    470,149.76/648,809.33 = 255,289.89/x
  3. Step 3: Cross multiply
    470,149.76x = 648,809.33 × 255,289.89
  4. Step 4: Simplify right side
    470,149.76x = 165,634,457,966.18
  5. Step 5: Solve for x
    x = 165,634,457,966.18/470,149.76
  6. Step 6: Final answer
    x = 352,301.48

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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.