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Finding the Fourth Proportional to 314,510.40, 471,960 and 127,523.52

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Solution

The fourth proportional to 314,510.40, 471,960 and 127,523.52 is: 191,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,510.40 : 471,960 = 127,523.52 : x
  2. Step 2: Convert to fraction form
    314,510.40/471,960 = 127,523.52/x
  3. Step 3: Cross multiply
    314,510.40x = 471,960 × 127,523.52
  4. Step 4: Simplify right side
    314,510.40x = 60,186,000,499.20
  5. Step 5: Solve for x
    x = 60,186,000,499.20/314,510.40
  6. Step 6: Final answer
    x = 191,364.10

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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.