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Finding the Fourth Proportional to 421,168.64, 632,001.84 and 155,116.16

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Solution

The fourth proportional to 421,168.64, 632,001.84 and 155,116.16 is: 232,765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,168.64 : 632,001.84 = 155,116.16 : x
  2. Step 2: Convert to fraction form
    421,168.64/632,001.84 = 155,116.16/x
  3. Step 3: Cross multiply
    421,168.64x = 632,001.84 × 155,116.16
  4. Step 4: Simplify right side
    421,168.64x = 98,033,698,533.73
  5. Step 5: Solve for x
    x = 98,033,698,533.73/421,168.64
  6. Step 6: Final answer
    x = 232,765.90

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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.