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Finding the Fourth Proportional to 429,210.83, 643,809.69 and 145,100.95

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Solution

The fourth proportional to 429,210.83, 643,809.69 and 145,100.95 is: 217,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,210.83 : 643,809.69 = 145,100.95 : x
  2. Step 2: Convert to fraction form
    429,210.83/643,809.69 = 145,100.95/x
  3. Step 3: Cross multiply
    429,210.83x = 643,809.69 × 145,100.95
  4. Step 4: Simplify right side
    429,210.83x = 93,417,397,638.21
  5. Step 5: Solve for x
    x = 93,417,397,638.21/429,210.83
  6. Step 6: Final answer
    x = 217,649.21

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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.