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Finding the Fourth Proportional to 343,664.60, 474,259.76 and 190,703.40

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Solution

The fourth proportional to 343,664.60, 474,259.76 and 190,703.40 is: 263,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,664.60 : 474,259.76 = 190,703.40 : x
  2. Step 2: Convert to fraction form
    343,664.60/474,259.76 = 190,703.40/x
  3. Step 3: Cross multiply
    343,664.60x = 474,259.76 × 190,703.40
  4. Step 4: Simplify right side
    343,664.60x = 90,442,948,715.18
  5. Step 5: Solve for x
    x = 90,442,948,715.18/343,664.60
  6. Step 6: Final answer
    x = 263,172.14

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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.