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Finding the Fourth Proportional to 520,101.60, 780,152.40 and 146,124.60

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Solution

The fourth proportional to 520,101.60, 780,152.40 and 146,124.60 is: 219,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,101.60 : 780,152.40 = 146,124.60 : x
  2. Step 2: Convert to fraction form
    520,101.60/780,152.40 = 146,124.60/x
  3. Step 3: Cross multiply
    520,101.60x = 780,152.40 × 146,124.60
  4. Step 4: Simplify right side
    520,101.60x = 113,999,457,389.04
  5. Step 5: Solve for x
    x = 113,999,457,389.04/520,101.60
  6. Step 6: Final answer
    x = 219,186.90

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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.