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Finding the Fourth Proportional to 290,056.32, 435,259.68 and 103,053.60

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Solution

The fourth proportional to 290,056.32, 435,259.68 and 103,053.60 is: 154,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,056.32 : 435,259.68 = 103,053.60 : x
  2. Step 2: Convert to fraction form
    290,056.32/435,259.68 = 103,053.60/x
  3. Step 3: Cross multiply
    290,056.32x = 435,259.68 × 103,053.60
  4. Step 4: Simplify right side
    290,056.32x = 44,855,076,958.85
  5. Step 5: Solve for x
    x = 44,855,076,958.85/290,056.32
  6. Step 6: Final answer
    x = 154,642.65

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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.