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Finding the Fourth Proportional to 429,574.70, 644,364.54 and 145,267.28

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Solution

The fourth proportional to 429,574.70, 644,364.54 and 145,267.28 is: 217,901.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,574.70 : 644,364.54 = 145,267.28 : x
  2. Step 2: Convert to fraction form
    429,574.70/644,364.54 = 145,267.28/x
  3. Step 3: Cross multiply
    429,574.70x = 644,364.54 × 145,267.28
  4. Step 4: Simplify right side
    429,574.70x = 93,605,084,054.25
  5. Step 5: Solve for x
    x = 93,605,084,054.25/429,574.70
  6. Step 6: Final answer
    x = 217,901.76

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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.