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Finding the Fourth Proportional to 478,864.16, 660,802.32 and 263,992.16

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Solution

The fourth proportional to 478,864.16, 660,802.32 and 263,992.16 is: 364,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,864.16 : 660,802.32 = 263,992.16 : x
  2. Step 2: Convert to fraction form
    478,864.16/660,802.32 = 263,992.16/x
  3. Step 3: Cross multiply
    478,864.16x = 660,802.32 × 263,992.16
  4. Step 4: Simplify right side
    478,864.16x = 174,446,631,789.81
  5. Step 5: Solve for x
    x = 174,446,631,789.81/478,864.16
  6. Step 6: Final answer
    x = 364,292.52

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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.