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Finding the Fourth Proportional to 406,549.80, 609,921.60 and 140,312.64

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Solution

The fourth proportional to 406,549.80, 609,921.60 and 140,312.64 is: 210,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,549.80 : 609,921.60 = 140,312.64 : x
  2. Step 2: Convert to fraction form
    406,549.80/609,921.60 = 140,312.64/x
  3. Step 3: Cross multiply
    406,549.80x = 609,921.60 × 140,312.64
  4. Step 4: Simplify right side
    406,549.80x = 85,579,709,889.02
  5. Step 5: Solve for x
    x = 85,579,709,889.02/406,549.80
  6. Step 6: Final answer
    x = 210,502.40

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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.