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Finding the Fourth Proportional to 475,353.20, 712,550 and 297,984.77

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Solution

The fourth proportional to 475,353.20, 712,550 and 297,984.77 is: 446,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,353.20 : 712,550 = 297,984.77 : x
  2. Step 2: Convert to fraction form
    475,353.20/712,550 = 297,984.77/x
  3. Step 3: Cross multiply
    475,353.20x = 712,550 × 297,984.77
  4. Step 4: Simplify right side
    475,353.20x = 212,329,047,863.50
  5. Step 5: Solve for x
    x = 212,329,047,863.50/475,353.20
  6. Step 6: Final answer
    x = 446,676.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.