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Finding the Fourth Proportional to 709,192.32, 978,588.48 and 407,386.24

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Solution

The fourth proportional to 709,192.32, 978,588.48 and 407,386.24 is: 562,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,192.32 : 978,588.48 = 407,386.24 : x
  2. Step 2: Convert to fraction form
    709,192.32/978,588.48 = 407,386.24/x
  3. Step 3: Cross multiply
    709,192.32x = 978,588.48 × 407,386.24
  4. Step 4: Simplify right side
    709,192.32x = 398,663,481,374.52
  5. Step 5: Solve for x
    x = 398,663,481,374.52/709,192.32
  6. Step 6: Final answer
    x = 562,137.34

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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.