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Finding the Fourth Proportional to 664,116.16, 916,478.28 and 362,308

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Solution

The fourth proportional to 664,116.16, 916,478.28 and 362,308 is: 499,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,116.16 : 916,478.28 = 362,308 : x
  2. Step 2: Convert to fraction form
    664,116.16/916,478.28 = 362,308/x
  3. Step 3: Cross multiply
    664,116.16x = 916,478.28 × 362,308
  4. Step 4: Simplify right side
    664,116.16x = 332,047,412,670.24
  5. Step 5: Solve for x
    x = 332,047,412,670.24/664,116.16
  6. Step 6: Final answer
    x = 499,983.94

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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.