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Finding the Fourth Proportional to 578,002.10, 866,657.55 and 298,066.10

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Solution

The fourth proportional to 578,002.10, 866,657.55 and 298,066.10 is: 446,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,002.10 : 866,657.55 = 298,066.10 : x
  2. Step 2: Convert to fraction form
    578,002.10/866,657.55 = 298,066.10/x
  3. Step 3: Cross multiply
    578,002.10x = 866,657.55 × 298,066.10
  4. Step 4: Simplify right side
    578,002.10x = 258,321,235,964.06
  5. Step 5: Solve for x
    x = 258,321,235,964.06/578,002.10
  6. Step 6: Final answer
    x = 446,920.93

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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.