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Finding the Fourth Proportional to 423,078.19, 583,845 and 229,485.12

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Solution

The fourth proportional to 423,078.19, 583,845 and 229,485.12 is: 316,687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,078.19 : 583,845 = 229,485.12 : x
  2. Step 2: Convert to fraction form
    423,078.19/583,845 = 229,485.12/x
  3. Step 3: Cross multiply
    423,078.19x = 583,845 × 229,485.12
  4. Step 4: Simplify right side
    423,078.19x = 133,983,739,886.40
  5. Step 5: Solve for x
    x = 133,983,739,886.40/423,078.19
  6. Step 6: Final answer
    x = 316,687.89

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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.