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Finding the Fourth Proportional to 507,393.66, 761,030 and 133,445.82

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Solution

The fourth proportional to 507,393.66, 761,030 and 133,445.82 is: 200,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,393.66 : 761,030 = 133,445.82 : x
  2. Step 2: Convert to fraction form
    507,393.66/761,030 = 133,445.82/x
  3. Step 3: Cross multiply
    507,393.66x = 761,030 × 133,445.82
  4. Step 4: Simplify right side
    507,393.66x = 101,556,272,394.60
  5. Step 5: Solve for x
    x = 101,556,272,394.60/507,393.66
  6. Step 6: Final answer
    x = 200,152.82

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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.