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Finding the Fourth Proportional to 407,622.90, 611,580.15 and 171,038.10

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Solution

The fourth proportional to 407,622.90, 611,580.15 and 171,038.10 is: 256,618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,622.90 : 611,580.15 = 171,038.10 : x
  2. Step 2: Convert to fraction form
    407,622.90/611,580.15 = 171,038.10/x
  3. Step 3: Cross multiply
    407,622.90x = 611,580.15 × 171,038.10
  4. Step 4: Simplify right side
    407,622.90x = 104,603,506,853.72
  5. Step 5: Solve for x
    x = 104,603,506,853.72/407,622.90
  6. Step 6: Final answer
    x = 256,618.33

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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.