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Finding the Fourth Proportional to 420,346, 630,519 and 124,858

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Solution

The fourth proportional to 420,346, 630,519 and 124,858 is: 187,287

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,346 : 630,519 = 124,858 : x
  2. Step 2: Convert to fraction form
    420,346/630,519 = 124,858/x
  3. Step 3: Cross multiply
    420,346x = 630,519 × 124,858
  4. Step 4: Simplify right side
    420,346x = 78,725,341,302
  5. Step 5: Solve for x
    x = 78,725,341,302/420,346
  6. Step 6: Final answer
    x = 187,287

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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.