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Finding the Fourth Proportional to 664,017.16, 916,341.76 and 362,209

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Solution

The fourth proportional to 664,017.16, 916,341.76 and 362,209 is: 499,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,017.16 : 916,341.76 = 362,209 : x
  2. Step 2: Convert to fraction form
    664,017.16/916,341.76 = 362,209/x
  3. Step 3: Cross multiply
    664,017.16x = 916,341.76 × 362,209
  4. Step 4: Simplify right side
    664,017.16x = 331,907,232,547.84
  5. Step 5: Solve for x
    x = 331,907,232,547.84/664,017.16
  6. Step 6: Final answer
    x = 499,847.37

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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.