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Finding the Fourth Proportional to 745,957, 1,029,407.58 and 406,427.64

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Solution

The fourth proportional to 745,957, 1,029,407.58 and 406,427.64 is: 560,863.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,957 : 1,029,407.58 = 406,427.64 : x
  2. Step 2: Convert to fraction form
    745,957/1,029,407.58 = 406,427.64/x
  3. Step 3: Cross multiply
    745,957x = 1,029,407.58 × 406,427.64
  4. Step 4: Simplify right side
    745,957x = 418,379,693,337.51
  5. Step 5: Solve for x
    x = 418,379,693,337.51/745,957
  6. Step 6: Final answer
    x = 560,863.02

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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.