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Finding the Fourth Proportional to 418,987.90, 578,492.58 and 392,219.02

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Solution

The fourth proportional to 418,987.90, 578,492.58 and 392,219.02 is: 541,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,987.90 : 578,492.58 = 392,219.02 : x
  2. Step 2: Convert to fraction form
    418,987.90/578,492.58 = 392,219.02/x
  3. Step 3: Cross multiply
    418,987.90x = 578,492.58 × 392,219.02
  4. Step 4: Simplify right side
    418,987.90x = 226,895,792,804.87
  5. Step 5: Solve for x
    x = 226,895,792,804.87/418,987.90
  6. Step 6: Final answer
    x = 541,533.04

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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.