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Finding the Fourth Proportional to 290,052, 435,078 and 103,070.88

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Solution

The fourth proportional to 290,052, 435,078 and 103,070.88 is: 154,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,052 : 435,078 = 103,070.88 : x
  2. Step 2: Convert to fraction form
    290,052/435,078 = 103,070.88/x
  3. Step 3: Cross multiply
    290,052x = 435,078 × 103,070.88
  4. Step 4: Simplify right side
    290,052x = 44,843,872,328.64
  5. Step 5: Solve for x
    x = 44,843,872,328.64/290,052
  6. Step 6: Final answer
    x = 154,606.32

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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.