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Finding the Fourth Proportional to 459,744, 689,616.16 and 144,225.60

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Solution

The fourth proportional to 459,744, 689,616.16 and 144,225.60 is: 216,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,744 : 689,616.16 = 144,225.60 : x
  2. Step 2: Convert to fraction form
    459,744/689,616.16 = 144,225.60/x
  3. Step 3: Cross multiply
    459,744x = 689,616.16 × 144,225.60
  4. Step 4: Simplify right side
    459,744x = 99,460,304,445.70
  5. Step 5: Solve for x
    x = 99,460,304,445.70/459,744
  6. Step 6: Final answer
    x = 216,338.45

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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.