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Finding the Fourth Proportional to 407,920.79, 611,671.10 and 183,088.49

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Solution

The fourth proportional to 407,920.79, 611,671.10 and 183,088.49 is: 274,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,920.79 : 611,671.10 = 183,088.49 : x
  2. Step 2: Convert to fraction form
    407,920.79/611,671.10 = 183,088.49/x
  3. Step 3: Cross multiply
    407,920.79x = 611,671.10 × 183,088.49
  4. Step 4: Simplify right side
    407,920.79x = 111,989,934,101.84
  5. Step 5: Solve for x
    x = 111,989,934,101.84/407,920.79
  6. Step 6: Final answer
    x = 274,538.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.