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Finding the Fourth Proportional to 478,222, 659,946.36 and 266,254

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Solution

The fourth proportional to 478,222, 659,946.36 and 266,254 is: 367,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,222 : 659,946.36 = 266,254 : x
  2. Step 2: Convert to fraction form
    478,222/659,946.36 = 266,254/x
  3. Step 3: Cross multiply
    478,222x = 659,946.36 × 266,254
  4. Step 4: Simplify right side
    478,222x = 175,713,358,135.44
  5. Step 5: Solve for x
    x = 175,713,358,135.44/478,222
  6. Step 6: Final answer
    x = 367,430.52

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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.