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Finding the Fourth Proportional to 470,889.48, 705,639.45 and 278,565

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Solution

The fourth proportional to 470,889.48, 705,639.45 and 278,565 is: 417,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,889.48 : 705,639.45 = 278,565 : x
  2. Step 2: Convert to fraction form
    470,889.48/705,639.45 = 278,565/x
  3. Step 3: Cross multiply
    470,889.48x = 705,639.45 × 278,565
  4. Step 4: Simplify right side
    470,889.48x = 196,566,453,389.25
  5. Step 5: Solve for x
    x = 196,566,453,389.25/470,889.48
  6. Step 6: Final answer
    x = 417,436.49

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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.