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Finding the Fourth Proportional to 978,966, 1,350,976.32 and 571,348.08

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Solution

The fourth proportional to 978,966, 1,350,976.32 and 571,348.08 is: 788,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,966 : 1,350,976.32 = 571,348.08 : x
  2. Step 2: Convert to fraction form
    978,966/1,350,976.32 = 571,348.08/x
  3. Step 3: Cross multiply
    978,966x = 1,350,976.32 × 571,348.08
  4. Step 4: Simplify right side
    978,966x = 771,877,726,557.47
  5. Step 5: Solve for x
    x = 771,877,726,557.47/978,966
  6. Step 6: Final answer
    x = 788,462.24

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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.