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Finding the Fourth Proportional to 408,855.90, 609,088.11 and 390,411.75

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Solution

The fourth proportional to 408,855.90, 609,088.11 and 390,411.75 is: 581,611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,855.90 : 609,088.11 = 390,411.75 : x
  2. Step 2: Convert to fraction form
    408,855.90/609,088.11 = 390,411.75/x
  3. Step 3: Cross multiply
    408,855.90x = 609,088.11 × 390,411.75
  4. Step 4: Simplify right side
    408,855.90x = 237,795,154,929.29
  5. Step 5: Solve for x
    x = 237,795,154,929.29/408,855.90
  6. Step 6: Final answer
    x = 581,611.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.