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Finding the Fourth Proportional to 312,415.63, 468,526.48 and 112,710

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Solution

The fourth proportional to 312,415.63, 468,526.48 and 112,710 is: 169,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,415.63 : 468,526.48 = 112,710 : x
  2. Step 2: Convert to fraction form
    312,415.63/468,526.48 = 112,710/x
  3. Step 3: Cross multiply
    312,415.63x = 468,526.48 × 112,710
  4. Step 4: Simplify right side
    312,415.63x = 52,807,619,560.80
  5. Step 5: Solve for x
    x = 52,807,619,560.80/312,415.63
  6. Step 6: Final answer
    x = 169,030.02

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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.