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Finding the Fourth Proportional to 434,490.40, 651,260.40 and 153,863.20

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Solution

The fourth proportional to 434,490.40, 651,260.40 and 153,863.20 is: 230,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,490.40 : 651,260.40 = 153,863.20 : x
  2. Step 2: Convert to fraction form
    434,490.40/651,260.40 = 153,863.20/x
  3. Step 3: Cross multiply
    434,490.40x = 651,260.40 × 153,863.20
  4. Step 4: Simplify right side
    434,490.40x = 100,205,009,177.28
  5. Step 5: Solve for x
    x = 100,205,009,177.28/434,490.40
  6. Step 6: Final answer
    x = 230,626.52

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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.