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Finding the Fourth Proportional to 520,200.53, 780,300.80 and 146,223.53

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Solution

The fourth proportional to 520,200.53, 780,300.80 and 146,223.53 is: 219,335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,200.53 : 780,300.80 = 146,223.53 : x
  2. Step 2: Convert to fraction form
    520,200.53/780,300.80 = 146,223.53/x
  3. Step 3: Cross multiply
    520,200.53x = 780,300.80 × 146,223.53
  4. Step 4: Simplify right side
    520,200.53x = 114,098,337,437.82
  5. Step 5: Solve for x
    x = 114,098,337,437.82/520,200.53
  6. Step 6: Final answer
    x = 219,335.30

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1.5x scale

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.