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Finding the Fourth Proportional to 425,196, 637,823.16 and 140,886

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Solution

The fourth proportional to 425,196, 637,823.16 and 140,886 is: 211,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,196 : 637,823.16 = 140,886 : x
  2. Step 2: Convert to fraction form
    425,196/637,823.16 = 140,886/x
  3. Step 3: Cross multiply
    425,196x = 637,823.16 × 140,886
  4. Step 4: Simplify right side
    425,196x = 89,860,353,719.76
  5. Step 5: Solve for x
    x = 89,860,353,719.76/425,196
  6. Step 6: Final answer
    x = 211,338.66

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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.