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Finding the Fourth Proportional to 290,335, 435,529.98 and 112,855.72

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Solution

The fourth proportional to 290,335, 435,529.98 and 112,855.72 is: 169,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,335 : 435,529.98 = 112,855.72 : x
  2. Step 2: Convert to fraction form
    290,335/435,529.98 = 112,855.72/x
  3. Step 3: Cross multiply
    290,335x = 435,529.98 × 112,855.72
  4. Step 4: Simplify right side
    290,335x = 49,152,049,474.49
  5. Step 5: Solve for x
    x = 49,152,049,474.49/290,335
  6. Step 6: Final answer
    x = 169,294.26

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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.