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Finding the Fourth Proportional to 374,243.51, 561,411.95 and 146,509.70

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Solution

The fourth proportional to 374,243.51, 561,411.95 and 146,509.70 is: 219,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,243.51 : 561,411.95 = 146,509.70 : x
  2. Step 2: Convert to fraction form
    374,243.51/561,411.95 = 146,509.70/x
  3. Step 3: Cross multiply
    374,243.51x = 561,411.95 × 146,509.70
  4. Step 4: Simplify right side
    374,243.51x = 82,252,292,831.31
  5. Step 5: Solve for x
    x = 82,252,292,831.31/374,243.51
  6. Step 6: Final answer
    x = 219,782.82

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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.