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Finding the Fourth Proportional to 508,830.20, 763,245.30 and 153,807.20

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Solution

The fourth proportional to 508,830.20, 763,245.30 and 153,807.20 is: 230,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,830.20 : 763,245.30 = 153,807.20 : x
  2. Step 2: Convert to fraction form
    508,830.20/763,245.30 = 153,807.20/x
  3. Step 3: Cross multiply
    508,830.20x = 763,245.30 × 153,807.20
  4. Step 4: Simplify right side
    508,830.20x = 117,392,622,506.16
  5. Step 5: Solve for x
    x = 117,392,622,506.16/508,830.20
  6. Step 6: Final answer
    x = 230,710.80

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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.