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Finding the Fourth Proportional to 310,438.68, 428,330.64 and 181,303.92

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Solution

The fourth proportional to 310,438.68, 428,330.64 and 181,303.92 is: 250,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,438.68 : 428,330.64 = 181,303.92 : x
  2. Step 2: Convert to fraction form
    310,438.68/428,330.64 = 181,303.92/x
  3. Step 3: Cross multiply
    310,438.68x = 428,330.64 × 181,303.92
  4. Step 4: Simplify right side
    310,438.68x = 77,658,024,088.11
  5. Step 5: Solve for x
    x = 77,658,024,088.11/310,438.68
  6. Step 6: Final answer
    x = 250,155.76

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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.