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Finding the Fourth Proportional to 370,005.29, 510,705.98 and 208,954.61

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Solution

The fourth proportional to 370,005.29, 510,705.98 and 208,954.61 is: 288,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,005.29 : 510,705.98 = 208,954.61 : x
  2. Step 2: Convert to fraction form
    370,005.29/510,705.98 = 208,954.61/x
  3. Step 3: Cross multiply
    370,005.29x = 510,705.98 × 208,954.61
  4. Step 4: Simplify right side
    370,005.29x = 106,714,368,875.57
  5. Step 5: Solve for x
    x = 106,714,368,875.57/370,005.29
  6. Step 6: Final answer
    x = 288,413.09

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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.