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Finding the Fourth Proportional to 538,923.90, 807,219.45 and 289,314.30

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Solution

The fourth proportional to 538,923.90, 807,219.45 and 289,314.30 is: 433,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,923.90 : 807,219.45 = 289,314.30 : x
  2. Step 2: Convert to fraction form
    538,923.90/807,219.45 = 289,314.30/x
  3. Step 3: Cross multiply
    538,923.90x = 807,219.45 × 289,314.30
  4. Step 4: Simplify right side
    538,923.90x = 233,540,130,123.14
  5. Step 5: Solve for x
    x = 233,540,130,123.14/538,923.90
  6. Step 6: Final answer
    x = 433,345.28

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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.