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Finding the Fourth Proportional to 470,886.48, 705,634.95 and 278,562

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Solution

The fourth proportional to 470,886.48, 705,634.95 and 278,562 is: 417,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,886.48 : 705,634.95 = 278,562 : x
  2. Step 2: Convert to fraction form
    470,886.48/705,634.95 = 278,562/x
  3. Step 3: Cross multiply
    470,886.48x = 705,634.95 × 278,562
  4. Step 4: Simplify right side
    470,886.48x = 196,563,082,941.90
  5. Step 5: Solve for x
    x = 196,563,082,941.90/470,886.48
  6. Step 6: Final answer
    x = 417,432.00

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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.