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Finding the Fourth Proportional to 460,602.68, 690,928.74 and 145,084.28

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Solution

The fourth proportional to 460,602.68, 690,928.74 and 145,084.28 is: 217,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,602.68 : 690,928.74 = 145,084.28 : x
  2. Step 2: Convert to fraction form
    460,602.68/690,928.74 = 145,084.28/x
  3. Step 3: Cross multiply
    460,602.68x = 690,928.74 × 145,084.28
  4. Step 4: Simplify right side
    460,602.68x = 100,242,898,774.21
  5. Step 5: Solve for x
    x = 100,242,898,774.21/460,602.68
  6. Step 6: Final answer
    x = 217,634.21

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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.