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Finding the Fourth Proportional to 978,238.05, 1,349,967.26 and 542,721.47

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Solution

The fourth proportional to 978,238.05, 1,349,967.26 and 542,721.47 is: 748,954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,238.05 : 1,349,967.26 = 542,721.47 : x
  2. Step 2: Convert to fraction form
    978,238.05/1,349,967.26 = 542,721.47/x
  3. Step 3: Cross multiply
    978,238.05x = 1,349,967.26 × 542,721.47
  4. Step 4: Simplify right side
    978,238.05x = 732,656,210,406.04
  5. Step 5: Solve for x
    x = 732,656,210,406.04/978,238.05
  6. Step 6: Final answer
    x = 748,954.93

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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.