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Finding the Fourth Proportional to 978,193.94, 1,349,985.83 and 542,654.24

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Solution

The fourth proportional to 978,193.94, 1,349,985.83 and 542,654.24 is: 748,906.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,193.94 : 1,349,985.83 = 542,654.24 : x
  2. Step 2: Convert to fraction form
    978,193.94/1,349,985.83 = 542,654.24/x
  3. Step 3: Cross multiply
    978,193.94x = 1,349,985.83 × 542,654.24
  4. Step 4: Simplify right side
    978,193.94x = 732,575,525,126.22
  5. Step 5: Solve for x
    x = 732,575,525,126.22/978,193.94
  6. Step 6: Final answer
    x = 748,906.22

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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.