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Finding the Fourth Proportional to 289,437.93, 434,117.48 and 76,187.98

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Solution

The fourth proportional to 289,437.93, 434,117.48 and 76,187.98 is: 114,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,437.93 : 434,117.48 = 76,187.98 : x
  2. Step 2: Convert to fraction form
    289,437.93/434,117.48 = 76,187.98/x
  3. Step 3: Cross multiply
    289,437.93x = 434,117.48 × 76,187.98
  4. Step 4: Simplify right side
    289,437.93x = 33,074,533,502.95
  5. Step 5: Solve for x
    x = 33,074,533,502.95/289,437.93
  6. Step 6: Final answer
    x = 114,271.60

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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.