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Finding the Fourth Proportional to 356,928.60, 535,133.70 and 146,458.20

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Solution

The fourth proportional to 356,928.60, 535,133.70 and 146,458.20 is: 219,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,928.60 : 535,133.70 = 146,458.20 : x
  2. Step 2: Convert to fraction form
    356,928.60/535,133.70 = 146,458.20/x
  3. Step 3: Cross multiply
    356,928.60x = 535,133.70 × 146,458.20
  4. Step 4: Simplify right side
    356,928.60x = 78,374,718,461.34
  5. Step 5: Solve for x
    x = 78,374,718,461.34/356,928.60
  6. Step 6: Final answer
    x = 219,580.94

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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.