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Finding the Fourth Proportional to 702,901.78, 970,076.06 and 506,829.54

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Solution

The fourth proportional to 702,901.78, 970,076.06 and 506,829.54 is: 699,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,901.78 : 970,076.06 = 506,829.54 : x
  2. Step 2: Convert to fraction form
    702,901.78/970,076.06 = 506,829.54/x
  3. Step 3: Cross multiply
    702,901.78x = 970,076.06 × 506,829.54
  4. Step 4: Simplify right side
    702,901.78x = 491,663,203,254.81
  5. Step 5: Solve for x
    x = 491,663,203,254.81/702,901.78
  6. Step 6: Final answer
    x = 699,476.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.