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Finding the Fourth Proportional to 259,855.61, 389,783.37 and 97,780.10

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Solution

The fourth proportional to 259,855.61, 389,783.37 and 97,780.10 is: 146,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,855.61 : 389,783.37 = 97,780.10 : x
  2. Step 2: Convert to fraction form
    259,855.61/389,783.37 = 97,780.10/x
  3. Step 3: Cross multiply
    259,855.61x = 389,783.37 × 97,780.10
  4. Step 4: Simplify right side
    259,855.61x = 38,113,054,948.02
  5. Step 5: Solve for x
    x = 38,113,054,948.02/259,855.61
  6. Step 6: Final answer
    x = 146,670.13

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Similar ratio
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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.