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Finding the Fourth Proportional to 406,209.60, 609,314.40 and 139,946.40

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Solution

The fourth proportional to 406,209.60, 609,314.40 and 139,946.40 is: 209,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,209.60 : 609,314.40 = 139,946.40 : x
  2. Step 2: Convert to fraction form
    406,209.60/609,314.40 = 139,946.40/x
  3. Step 3: Cross multiply
    406,209.60x = 609,314.40 × 139,946.40
  4. Step 4: Simplify right side
    406,209.60x = 85,271,356,748.16
  5. Step 5: Solve for x
    x = 85,271,356,748.16/406,209.60
  6. Step 6: Final answer
    x = 209,919.60

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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.