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Finding the Fourth Proportional to 514,925.70, 710,621.82 and 321,448.02

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Solution

The fourth proportional to 514,925.70, 710,621.82 and 321,448.02 is: 443,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,925.70 : 710,621.82 = 321,448.02 : x
  2. Step 2: Convert to fraction form
    514,925.70/710,621.82 = 321,448.02/x
  3. Step 3: Cross multiply
    514,925.70x = 710,621.82 × 321,448.02
  4. Step 4: Simplify right side
    514,925.70x = 228,427,977,007.80
  5. Step 5: Solve for x
    x = 228,427,977,007.80/514,925.70
  6. Step 6: Final answer
    x = 443,613.47

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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.