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Finding the Fourth Proportional to 456,721.30, 640,809.50 and 456,721.30

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Solution

The fourth proportional to 456,721.30, 640,809.50 and 456,721.30 is: 640,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,721.30 : 640,809.50 = 456,721.30 : x
  2. Step 2: Convert to fraction form
    456,721.30/640,809.50 = 456,721.30/x
  3. Step 3: Cross multiply
    456,721.30x = 640,809.50 × 456,721.30
  4. Step 4: Simplify right side
    456,721.30x = 292,671,347,892.35
  5. Step 5: Solve for x
    x = 292,671,347,892.35/456,721.30
  6. Step 6: Final answer
    x = 640,809.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.