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Finding the Fourth Proportional to 411,990.10, 578,030.30 and 411,990.10

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Solution

The fourth proportional to 411,990.10, 578,030.30 and 411,990.10 is: 578,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,990.10 : 578,030.30 = 411,990.10 : x
  2. Step 2: Convert to fraction form
    411,990.10/578,030.30 = 411,990.10/x
  3. Step 3: Cross multiply
    411,990.10x = 578,030.30 × 411,990.10
  4. Step 4: Simplify right side
    411,990.10x = 238,142,761,100.03
  5. Step 5: Solve for x
    x = 238,142,761,100.03/411,990.10
  6. Step 6: Final answer
    x = 578,030.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.