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Finding the Fourth Proportional to 429,955,792.76, 644,927,208.08 and 193,438,284.28

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Solution

The fourth proportional to 429,955,792.76, 644,927,208.08 and 193,438,284.28 is: 290,154,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,955,792.76 : 644,927,208.08 = 193,438,284.28 : x
  2. Step 2: Convert to fraction form
    429,955,792.76/644,927,208.08 = 193,438,284.28/x
  3. Step 3: Cross multiply
    429,955,792.76x = 644,927,208.08 × 193,438,284.28
  4. Step 4: Simplify right side
    429,955,792.76x = 124,753,612,616,485,760
  5. Step 5: Solve for x
    x = 124,753,612,616,485,760/429,955,792.76
  6. Step 6: Final answer
    x = 290,154,510.57

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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.