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Finding the Fourth Proportional to 406,944,085.80, 610,416,128.70 and 391,071,714.60

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Solution

The fourth proportional to 406,944,085.80, 610,416,128.70 and 391,071,714.60 is: 586,607,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,944,085.80 : 610,416,128.70 = 391,071,714.60 : x
  2. Step 2: Convert to fraction form
    406,944,085.80/610,416,128.70 = 391,071,714.60/x
  3. Step 3: Cross multiply
    406,944,085.80x = 610,416,128.70 × 391,071,714.60
  4. Step 4: Simplify right side
    406,944,085.80x = 238,716,482,070,203,296
  5. Step 5: Solve for x
    x = 238,716,482,070,203,296/406,944,085.80
  6. Step 6: Final answer
    x = 586,607,571.90

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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.