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Finding the Fourth Proportional to 311,937.47, 430,475 and 168,697.51

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Solution

The fourth proportional to 311,937.47, 430,475 and 168,697.51 is: 232,803.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,937.47 : 430,475 = 168,697.51 : x
  2. Step 2: Convert to fraction form
    311,937.47/430,475 = 168,697.51/x
  3. Step 3: Cross multiply
    311,937.47x = 430,475 × 168,697.51
  4. Step 4: Simplify right side
    311,937.47x = 72,620,060,617.25
  5. Step 5: Solve for x
    x = 72,620,060,617.25/311,937.47
  6. Step 6: Final answer
    x = 232,803.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.