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Finding the Fourth Proportional to 514,390.64, 710,205.64 and 321,092.64

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Solution

The fourth proportional to 514,390.64, 710,205.64 and 321,092.64 is: 443,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,390.64 : 710,205.64 = 321,092.64 : x
  2. Step 2: Convert to fraction form
    514,390.64/710,205.64 = 321,092.64/x
  3. Step 3: Cross multiply
    514,390.64x = 710,205.64 × 321,092.64
  4. Step 4: Simplify right side
    514,390.64x = 228,041,803,890.49
  5. Step 5: Solve for x
    x = 228,041,803,890.49/514,390.64
  6. Step 6: Final answer
    x = 443,324.17

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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.