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Finding the Fourth Proportional to 470,223.68, 648,909.60 and 255,361.28

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Solution

The fourth proportional to 470,223.68, 648,909.60 and 255,361.28 is: 352,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,223.68 : 648,909.60 = 255,361.28 : x
  2. Step 2: Convert to fraction form
    470,223.68/648,909.60 = 255,361.28/x
  3. Step 3: Cross multiply
    470,223.68x = 648,909.60 × 255,361.28
  4. Step 4: Simplify right side
    470,223.68x = 165,706,386,060.29
  5. Step 5: Solve for x
    x = 165,706,386,060.29/470,223.68
  6. Step 6: Final answer
    x = 352,399.07

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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.