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Finding the Fourth Proportional to 406,333.91, 559,457.80 and 357,905.63

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Solution

The fourth proportional to 406,333.91, 559,457.80 and 357,905.63 is: 492,779.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,333.91 : 559,457.80 = 357,905.63 : x
  2. Step 2: Convert to fraction form
    406,333.91/559,457.80 = 357,905.63/x
  3. Step 3: Cross multiply
    406,333.91x = 559,457.80 × 357,905.63
  4. Step 4: Simplify right side
    406,333.91x = 200,233,092,675.36
  5. Step 5: Solve for x
    x = 200,233,092,675.36/406,333.91
  6. Step 6: Final answer
    x = 492,779.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.