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Finding the Fourth Proportional to 442,603.98, 663,565.68 and 229,143.06

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Solution

The fourth proportional to 442,603.98, 663,565.68 and 229,143.06 is: 343,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,603.98 : 663,565.68 = 229,143.06 : x
  2. Step 2: Convert to fraction form
    442,603.98/663,565.68 = 229,143.06/x
  3. Step 3: Cross multiply
    442,603.98x = 663,565.68 × 229,143.06
  4. Step 4: Simplify right side
    442,603.98x = 152,051,470,426.18
  5. Step 5: Solve for x
    x = 152,051,470,426.18/442,603.98
  6. Step 6: Final answer
    x = 343,538.42

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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.