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Finding the Fourth Proportional to 520,130.16, 780,224.40 and 146,124

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Solution

The fourth proportional to 520,130.16, 780,224.40 and 146,124 is: 219,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,130.16 : 780,224.40 = 146,124 : x
  2. Step 2: Convert to fraction form
    520,130.16/780,224.40 = 146,124/x
  3. Step 3: Cross multiply
    520,130.16x = 780,224.40 × 146,124
  4. Step 4: Simplify right side
    520,130.16x = 114,009,510,225.60
  5. Step 5: Solve for x
    x = 114,009,510,225.60/520,130.16
  6. Step 6: Final answer
    x = 219,194.19

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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.