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Finding the Fourth Proportional to 406,200.60, 609,300.90 and 288,005.40

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Solution

The fourth proportional to 406,200.60, 609,300.90 and 288,005.40 is: 432,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,200.60 : 609,300.90 = 288,005.40 : x
  2. Step 2: Convert to fraction form
    406,200.60/609,300.90 = 288,005.40/x
  3. Step 3: Cross multiply
    406,200.60x = 609,300.90 × 288,005.40
  4. Step 4: Simplify right side
    406,200.60x = 175,481,949,424.86
  5. Step 5: Solve for x
    x = 175,481,949,424.86/406,200.60
  6. Step 6: Final answer
    x = 432,008.10

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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.