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Finding the Fourth Proportional to 978,353.07, 1,467,533.93 and 268,389.15

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Solution

The fourth proportional to 978,353.07, 1,467,533.93 and 268,389.15 is: 402,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,353.07 : 1,467,533.93 = 268,389.15 : x
  2. Step 2: Convert to fraction form
    978,353.07/1,467,533.93 = 268,389.15/x
  3. Step 3: Cross multiply
    978,353.07x = 1,467,533.93 × 268,389.15
  4. Step 4: Simplify right side
    978,353.07x = 393,870,182,726.91
  5. Step 5: Solve for x
    x = 393,870,182,726.91/978,353.07
  6. Step 6: Final answer
    x = 402,584.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.