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Finding the Fourth Proportional to 472,401.60, 708,688.80 and 191,947.20

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Solution

The fourth proportional to 472,401.60, 708,688.80 and 191,947.20 is: 287,955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,401.60 : 708,688.80 = 191,947.20 : x
  2. Step 2: Convert to fraction form
    472,401.60/708,688.80 = 191,947.20/x
  3. Step 3: Cross multiply
    472,401.60x = 708,688.80 × 191,947.20
  4. Step 4: Simplify right side
    472,401.60x = 136,030,830,831.36
  5. Step 5: Solve for x
    x = 136,030,830,831.36/472,401.60
  6. Step 6: Final answer
    x = 287,955.91

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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.