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Finding the Fourth Proportional to 310,803.84, 466,154.16 and 86,187.36

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Solution

The fourth proportional to 310,803.84, 466,154.16 and 86,187.36 is: 129,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,803.84 : 466,154.16 = 86,187.36 : x
  2. Step 2: Convert to fraction form
    310,803.84/466,154.16 = 86,187.36/x
  3. Step 3: Cross multiply
    310,803.84x = 466,154.16 × 86,187.36
  4. Step 4: Simplify right side
    310,803.84x = 40,176,596,403.42
  5. Step 5: Solve for x
    x = 40,176,596,403.42/310,803.84
  6. Step 6: Final answer
    x = 129,266.73

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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.