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Finding the Fourth Proportional to 514,354.80, 711,164.08 and 450,509.40

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Solution

The fourth proportional to 514,354.80, 711,164.08 and 450,509.40 is: 622,889.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,354.80 : 711,164.08 = 450,509.40 : x
  2. Step 2: Convert to fraction form
    514,354.80/711,164.08 = 450,509.40/x
  3. Step 3: Cross multiply
    514,354.80x = 711,164.08 × 450,509.40
  4. Step 4: Simplify right side
    514,354.80x = 320,386,102,982.35
  5. Step 5: Solve for x
    x = 320,386,102,982.35/514,354.80
  6. Step 6: Final answer
    x = 622,889.30

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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.