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Finding the Fourth Proportional to 316,457.37, 474,049.98 and 147,744.90

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Solution

The fourth proportional to 316,457.37, 474,049.98 and 147,744.90 is: 221,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,457.37 : 474,049.98 = 147,744.90 : x
  2. Step 2: Convert to fraction form
    316,457.37/474,049.98 = 147,744.90/x
  3. Step 3: Cross multiply
    316,457.37x = 474,049.98 × 147,744.90
  4. Step 4: Simplify right side
    316,457.37x = 70,038,466,890.10
  5. Step 5: Solve for x
    x = 70,038,466,890.10/316,457.37
  6. Step 6: Final answer
    x = 221,320.38

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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.