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Finding the Fourth Proportional to 312,332.10, 431,013.15 and 169,090.98

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Solution

The fourth proportional to 312,332.10, 431,013.15 and 169,090.98 is: 233,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,332.10 : 431,013.15 = 169,090.98 : x
  2. Step 2: Convert to fraction form
    312,332.10/431,013.15 = 169,090.98/x
  3. Step 3: Cross multiply
    312,332.10x = 431,013.15 × 169,090.98
  4. Step 4: Simplify right side
    312,332.10x = 72,880,435,926.39
  5. Step 5: Solve for x
    x = 72,880,435,926.39/312,332.10
  6. Step 6: Final answer
    x = 233,342.77

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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.