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Finding the Fourth Proportional to 429,130.78, 644,119.90 and 322,142.74

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Solution

The fourth proportional to 429,130.78, 644,119.90 and 322,142.74 is: 483,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,130.78 : 644,119.90 = 322,142.74 : x
  2. Step 2: Convert to fraction form
    429,130.78/644,119.90 = 322,142.74/x
  3. Step 3: Cross multiply
    429,130.78x = 644,119.90 × 322,142.74
  4. Step 4: Simplify right side
    429,130.78x = 207,498,547,058.87
  5. Step 5: Solve for x
    x = 207,498,547,058.87/429,130.78
  6. Step 6: Final answer
    x = 483,532.20

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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.