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Finding the Fourth Proportional to 520,120.16, 780,209.40 and 146,114

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Solution

The fourth proportional to 520,120.16, 780,209.40 and 146,114 is: 219,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,120.16 : 780,209.40 = 146,114 : x
  2. Step 2: Convert to fraction form
    520,120.16/780,209.40 = 146,114/x
  3. Step 3: Cross multiply
    520,120.16x = 780,209.40 × 146,114
  4. Step 4: Simplify right side
    520,120.16x = 113,999,516,271.60
  5. Step 5: Solve for x
    x = 113,999,516,271.60/520,120.16
  6. Step 6: Final answer
    x = 219,179.19

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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.