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Finding the Fourth Proportional to 406,807.70, 610,102.20 and 170,101.40

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Solution

The fourth proportional to 406,807.70, 610,102.20 and 170,101.40 is: 255,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,807.70 : 610,102.20 = 170,101.40 : x
  2. Step 2: Convert to fraction form
    406,807.70/610,102.20 = 170,101.40/x
  3. Step 3: Cross multiply
    406,807.70x = 610,102.20 × 170,101.40
  4. Step 4: Simplify right side
    406,807.70x = 103,779,238,363.08
  5. Step 5: Solve for x
    x = 103,779,238,363.08/406,807.70
  6. Step 6: Final answer
    x = 255,106.38

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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.