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Finding the Fourth Proportional to 377,511, 566,354.10 and 128,193.24

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Solution

The fourth proportional to 377,511, 566,354.10 and 128,193.24 is: 192,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,511 : 566,354.10 = 128,193.24 : x
  2. Step 2: Convert to fraction form
    377,511/566,354.10 = 128,193.24/x
  3. Step 3: Cross multiply
    377,511x = 566,354.10 × 128,193.24
  4. Step 4: Simplify right side
    377,511x = 72,602,767,066.28
  5. Step 5: Solve for x
    x = 72,602,767,066.28/377,511
  6. Step 6: Final answer
    x = 192,319.61

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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.