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Finding the Fourth Proportional to 438,208.64, 604,746.24 and 277,005.68

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Solution

The fourth proportional to 438,208.64, 604,746.24 and 277,005.68 is: 382,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,208.64 : 604,746.24 = 277,005.68 : x
  2. Step 2: Convert to fraction form
    438,208.64/604,746.24 = 277,005.68/x
  3. Step 3: Cross multiply
    438,208.64x = 604,746.24 × 277,005.68
  4. Step 4: Simplify right side
    438,208.64x = 167,518,143,438.64
  5. Step 5: Solve for x
    x = 167,518,143,438.64/438,208.64
  6. Step 6: Final answer
    x = 382,279.42

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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.