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Finding the Fourth Proportional to 608,742, 840,066.84 and 340,470

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Solution

The fourth proportional to 608,742, 840,066.84 and 340,470 is: 469,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,742 : 840,066.84 = 340,470 : x
  2. Step 2: Convert to fraction form
    608,742/840,066.84 = 340,470/x
  3. Step 3: Cross multiply
    608,742x = 840,066.84 × 340,470
  4. Step 4: Simplify right side
    608,742x = 286,017,557,014.80
  5. Step 5: Solve for x
    x = 286,017,557,014.80/608,742
  6. Step 6: Final answer
    x = 469,850.21

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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.