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Finding the Fourth Proportional to 460,062.40, 690,115.20 and 144,529.60

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Solution

The fourth proportional to 460,062.40, 690,115.20 and 144,529.60 is: 216,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,062.40 : 690,115.20 = 144,529.60 : x
  2. Step 2: Convert to fraction form
    460,062.40/690,115.20 = 144,529.60/x
  3. Step 3: Cross multiply
    460,062.40x = 690,115.20 × 144,529.60
  4. Step 4: Simplify right side
    460,062.40x = 99,742,073,809.92
  5. Step 5: Solve for x
    x = 99,742,073,809.92/460,062.40
  6. Step 6: Final answer
    x = 216,801.19

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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.