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Finding the Fourth Proportional to 434,657.60, 652,101.60 and 154,145.60

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Solution

The fourth proportional to 434,657.60, 652,101.60 and 154,145.60 is: 231,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,657.60 : 652,101.60 = 154,145.60 : x
  2. Step 2: Convert to fraction form
    434,657.60/652,101.60 = 154,145.60/x
  3. Step 3: Cross multiply
    434,657.60x = 652,101.60 × 154,145.60
  4. Step 4: Simplify right side
    434,657.60x = 100,518,592,392.96
  5. Step 5: Solve for x
    x = 100,518,592,392.96/434,657.60
  6. Step 6: Final answer
    x = 231,259.25

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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.