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Finding the Fourth Proportional to 382,111.78, 572,420.28 and 314,740.53

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Solution

The fourth proportional to 382,111.78, 572,420.28 and 314,740.53 is: 471,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,111.78 : 572,420.28 = 314,740.53 : x
  2. Step 2: Convert to fraction form
    382,111.78/572,420.28 = 314,740.53/x
  3. Step 3: Cross multiply
    382,111.78x = 572,420.28 × 314,740.53
  4. Step 4: Simplify right side
    382,111.78x = 180,163,862,309.95
  5. Step 5: Solve for x
    x = 180,163,862,309.95/382,111.78
  6. Step 6: Final answer
    x = 471,495.19

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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.