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Finding the Fourth Proportional to 510,822.72, 704,576.88 and 442,720.08

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Solution

The fourth proportional to 510,822.72, 704,576.88 and 442,720.08 is: 610,643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,822.72 : 704,576.88 = 442,720.08 : x
  2. Step 2: Convert to fraction form
    510,822.72/704,576.88 = 442,720.08/x
  3. Step 3: Cross multiply
    510,822.72x = 704,576.88 × 442,720.08
  4. Step 4: Simplify right side
    510,822.72x = 311,930,332,679.75
  5. Step 5: Solve for x
    x = 311,930,332,679.75/510,822.72
  6. Step 6: Final answer
    x = 610,643.03

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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.