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Finding the Fourth Proportional to 406,874.80, 610,312.20 and 395,210.80

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Solution

The fourth proportional to 406,874.80, 610,312.20 and 395,210.80 is: 592,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,874.80 : 610,312.20 = 395,210.80 : x
  2. Step 2: Convert to fraction form
    406,874.80/610,312.20 = 395,210.80/x
  3. Step 3: Cross multiply
    406,874.80x = 610,312.20 × 395,210.80
  4. Step 4: Simplify right side
    406,874.80x = 241,201,972,811.76
  5. Step 5: Solve for x
    x = 241,201,972,811.76/406,874.80
  6. Step 6: Final answer
    x = 592,816.20

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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.