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Finding the Fourth Proportional to 418,875.98, 578,032.27 and 227,885.27

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Solution

The fourth proportional to 418,875.98, 578,032.27 and 227,885.27 is: 314,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,875.98 : 578,032.27 = 227,885.27 : x
  2. Step 2: Convert to fraction form
    418,875.98/578,032.27 = 227,885.27/x
  3. Step 3: Cross multiply
    418,875.98x = 578,032.27 × 227,885.27
  4. Step 4: Simplify right side
    418,875.98x = 131,725,036,457.79
  5. Step 5: Solve for x
    x = 131,725,036,457.79/418,875.98
  6. Step 6: Final answer
    x = 314,472.65

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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.