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Finding the Fourth Proportional to 402,804, 604,206 and 191,802.24

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Solution

The fourth proportional to 402,804, 604,206 and 191,802.24 is: 287,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,804 : 604,206 = 191,802.24 : x
  2. Step 2: Convert to fraction form
    402,804/604,206 = 191,802.24/x
  3. Step 3: Cross multiply
    402,804x = 604,206 × 191,802.24
  4. Step 4: Simplify right side
    402,804x = 115,888,064,221.44
  5. Step 5: Solve for x
    x = 115,888,064,221.44/402,804
  6. Step 6: Final answer
    x = 287,703.36

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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.