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Finding the Fourth Proportional to 514,406.05, 710,226.95 and 321,108.05

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Solution

The fourth proportional to 514,406.05, 710,226.95 and 321,108.05 is: 443,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,406.05 : 710,226.95 = 321,108.05 : x
  2. Step 2: Convert to fraction form
    514,406.05/710,226.95 = 321,108.05/x
  3. Step 3: Cross multiply
    514,406.05x = 710,226.95 × 321,108.05
  4. Step 4: Simplify right side
    514,406.05x = 228,059,591,141.98
  5. Step 5: Solve for x
    x = 228,059,591,141.98/514,406.05
  6. Step 6: Final answer
    x = 443,345.47

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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.