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Finding the Fourth Proportional to 926,064, 1,277,968.32 and 502,128

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Solution

The fourth proportional to 926,064, 1,277,968.32 and 502,128 is: 692,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,064 : 1,277,968.32 = 502,128 : x
  2. Step 2: Convert to fraction form
    926,064/1,277,968.32 = 502,128/x
  3. Step 3: Cross multiply
    926,064x = 1,277,968.32 × 502,128
  4. Step 4: Simplify right side
    926,064x = 641,703,676,584.96
  5. Step 5: Solve for x
    x = 641,703,676,584.96/926,064
  6. Step 6: Final answer
    x = 692,936.64

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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.