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Finding the Fourth Proportional to 540,030.60, 809,171.10 and 461,298.60

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Solution

The fourth proportional to 540,030.60, 809,171.10 and 461,298.60 is: 691,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,030.60 : 809,171.10 = 461,298.60 : x
  2. Step 2: Convert to fraction form
    540,030.60/809,171.10 = 461,298.60/x
  3. Step 3: Cross multiply
    540,030.60x = 809,171.10 × 461,298.60
  4. Step 4: Simplify right side
    540,030.60x = 373,269,495,590.46
  5. Step 5: Solve for x
    x = 373,269,495,590.46/540,030.60
  6. Step 6: Final answer
    x = 691,200.64

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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.