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Finding the Fourth Proportional to 512,107.89, 707,041.78 and 458,300.40

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Solution

The fourth proportional to 512,107.89, 707,041.78 and 458,300.40 is: 632,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,107.89 : 707,041.78 = 458,300.40 : x
  2. Step 2: Convert to fraction form
    512,107.89/707,041.78 = 458,300.40/x
  3. Step 3: Cross multiply
    512,107.89x = 707,041.78 × 458,300.40
  4. Step 4: Simplify right side
    512,107.89x = 324,037,529,444.96
  5. Step 5: Solve for x
    x = 324,037,529,444.96/512,107.89
  6. Step 6: Final answer
    x = 632,752.46

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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.