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Finding the Fourth Proportional to 460,170.40, 690,262.74 and 144,627.31

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Solution

The fourth proportional to 460,170.40, 690,262.74 and 144,627.31 is: 216,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,170.40 : 690,262.74 = 144,627.31 : x
  2. Step 2: Convert to fraction form
    460,170.40/690,262.74 = 144,627.31/x
  3. Step 3: Cross multiply
    460,170.40x = 690,262.74 × 144,627.31
  4. Step 4: Simplify right side
    460,170.40x = 99,830,843,279.43
  5. Step 5: Solve for x
    x = 99,830,843,279.43/460,170.40
  6. Step 6: Final answer
    x = 216,943.21

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1.5x scale

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.