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Finding the Fourth Proportional to 461,448.60, 692,561.70 and 209,117.40

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Solution

The fourth proportional to 461,448.60, 692,561.70 and 209,117.40 is: 313,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,448.60 : 692,561.70 = 209,117.40 : x
  2. Step 2: Convert to fraction form
    461,448.60/692,561.70 = 209,117.40/x
  3. Step 3: Cross multiply
    461,448.60x = 692,561.70 × 209,117.40
  4. Step 4: Simplify right side
    461,448.60x = 144,826,702,043.58
  5. Step 5: Solve for x
    x = 144,826,702,043.58/461,448.60
  6. Step 6: Final answer
    x = 313,852.29

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