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Finding the Fourth Proportional to 475,345.64, 712,538.68 and 297,977.20

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Solution

The fourth proportional to 475,345.64, 712,538.68 and 297,977.20 is: 446,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,345.64 : 712,538.68 = 297,977.20 : x
  2. Step 2: Convert to fraction form
    475,345.64/712,538.68 = 297,977.20/x
  3. Step 3: Cross multiply
    475,345.64x = 712,538.68 × 297,977.20
  4. Step 4: Simplify right side
    475,345.64x = 212,320,282,539.44
  5. Step 5: Solve for x
    x = 212,320,282,539.44/475,345.64
  6. Step 6: Final answer
    x = 446,665.05

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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.