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Finding the Fourth Proportional to 978,458.94, 1,350,420.93 and 596,707.16

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Solution

The fourth proportional to 978,458.94, 1,350,420.93 and 596,707.16 is: 823,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,458.94 : 1,350,420.93 = 596,707.16 : x
  2. Step 2: Convert to fraction form
    978,458.94/1,350,420.93 = 596,707.16/x
  3. Step 3: Cross multiply
    978,458.94x = 1,350,420.93 × 596,707.16
  4. Step 4: Simplify right side
    978,458.94x = 805,805,831,192.75
  5. Step 5: Solve for x
    x = 805,805,831,192.75/978,458.94
  6. Step 6: Final answer
    x = 823,545.88

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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.