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Finding the Fourth Proportional to 750,684, 1,035,946.68 and 406,520.08

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Solution

The fourth proportional to 750,684, 1,035,946.68 and 406,520.08 is: 560,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,684 : 1,035,946.68 = 406,520.08 : x
  2. Step 2: Convert to fraction form
    750,684/1,035,946.68 = 406,520.08/x
  3. Step 3: Cross multiply
    750,684x = 1,035,946.68 × 406,520.08
  4. Step 4: Simplify right side
    750,684x = 421,133,127,229.33
  5. Step 5: Solve for x
    x = 421,133,127,229.33/750,684
  6. Step 6: Final answer
    x = 560,999.21

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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.