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Finding the Fourth Proportional to 470,643, 705,178.26 and 292,710.84

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Solution

The fourth proportional to 470,643, 705,178.26 and 292,710.84 is: 438,577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,643 : 705,178.26 = 292,710.84 : x
  2. Step 2: Convert to fraction form
    470,643/705,178.26 = 292,710.84/x
  3. Step 3: Cross multiply
    470,643x = 705,178.26 × 292,710.84
  4. Step 4: Simplify right side
    470,643x = 206,413,320,834.34
  5. Step 5: Solve for x
    x = 206,413,320,834.34/470,643
  6. Step 6: Final answer
    x = 438,577.27

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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.