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Finding the Fourth Proportional to 739,301, 1,020,235.74 and 399,769.16

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Solution

The fourth proportional to 739,301, 1,020,235.74 and 399,769.16 is: 551,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,301 : 1,020,235.74 = 399,769.16 : x
  2. Step 2: Convert to fraction form
    739,301/1,020,235.74 = 399,769.16/x
  3. Step 3: Cross multiply
    739,301x = 1,020,235.74 × 399,769.16
  4. Step 4: Simplify right side
    739,301x = 407,858,784,781.78
  5. Step 5: Solve for x
    x = 407,858,784,781.78/739,301
  6. Step 6: Final answer
    x = 551,681.64

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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.