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Finding the Fourth Proportional to 514,412.58, 710,236.02 and 321,114.60

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Solution

The fourth proportional to 514,412.58, 710,236.02 and 321,114.60 is: 443,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,412.58 : 710,236.02 = 321,114.60 : x
  2. Step 2: Convert to fraction form
    514,412.58/710,236.02 = 321,114.60/x
  3. Step 3: Cross multiply
    514,412.58x = 710,236.02 × 321,114.60
  4. Step 4: Simplify right side
    514,412.58x = 228,067,155,467.89
  5. Step 5: Solve for x
    x = 228,067,155,467.89/514,412.58
  6. Step 6: Final answer
    x = 443,354.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.