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Finding the Fourth Proportional to 520,046.70, 780,142.95 and 204,430.20

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Solution

The fourth proportional to 520,046.70, 780,142.95 and 204,430.20 is: 306,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,046.70 : 780,142.95 = 204,430.20 : x
  2. Step 2: Convert to fraction form
    520,046.70/780,142.95 = 204,430.20/x
  3. Step 3: Cross multiply
    520,046.70x = 780,142.95 × 204,430.20
  4. Step 4: Simplify right side
    520,046.70x = 159,484,779,297.09
  5. Step 5: Solve for x
    x = 159,484,779,297.09/520,046.70
  6. Step 6: Final answer
    x = 306,673.96

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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.