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Finding the Fourth Proportional to 426,947.80, 640,434.66 and 146,461

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Solution

The fourth proportional to 426,947.80, 640,434.66 and 146,461 is: 219,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,947.80 : 640,434.66 = 146,461 : x
  2. Step 2: Convert to fraction form
    426,947.80/640,434.66 = 146,461/x
  3. Step 3: Cross multiply
    426,947.80x = 640,434.66 × 146,461
  4. Step 4: Simplify right side
    426,947.80x = 93,798,700,738.26
  5. Step 5: Solve for x
    x = 93,798,700,738.26/426,947.80
  6. Step 6: Final answer
    x = 219,695.95

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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.