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Finding the Fourth Proportional to 290,083.16, 435,124.14 and 163,666.02

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Solution

The fourth proportional to 290,083.16, 435,124.14 and 163,666.02 is: 245,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,083.16 : 435,124.14 = 163,666.02 : x
  2. Step 2: Convert to fraction form
    290,083.16/435,124.14 = 163,666.02/x
  3. Step 3: Cross multiply
    290,083.16x = 435,124.14 × 163,666.02
  4. Step 4: Simplify right side
    290,083.16x = 71,215,036,199.72
  5. Step 5: Solve for x
    x = 71,215,036,199.72/290,083.16
  6. Step 6: Final answer
    x = 245,498.69

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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.