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Finding the Fourth Proportional to 406,031.52, 609,087.84 and 139,756.80

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Solution

The fourth proportional to 406,031.52, 609,087.84 and 139,756.80 is: 209,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,031.52 : 609,087.84 = 139,756.80 : x
  2. Step 2: Convert to fraction form
    406,031.52/609,087.84 = 139,756.80/x
  3. Step 3: Cross multiply
    406,031.52x = 609,087.84 × 139,756.80
  4. Step 4: Simplify right side
    406,031.52x = 85,124,167,437.31
  5. Step 5: Solve for x
    x = 85,124,167,437.31/406,031.52
  6. Step 6: Final answer
    x = 209,649.16

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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.