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Finding the Fourth Proportional to 290,599.50, 434,624.42 and 258,802.80

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Solution

The fourth proportional to 290,599.50, 434,624.42 and 258,802.80 is: 387,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,599.50 : 434,624.42 = 258,802.80 : x
  2. Step 2: Convert to fraction form
    290,599.50/434,624.42 = 258,802.80/x
  3. Step 3: Cross multiply
    290,599.50x = 434,624.42 × 258,802.80
  4. Step 4: Simplify right side
    290,599.50x = 112,482,016,844.38
  5. Step 5: Solve for x
    x = 112,482,016,844.38/290,599.50
  6. Step 6: Final answer
    x = 387,068.86

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1.5x scale

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.