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Finding the Fourth Proportional to 4,697,978.40, 7,057,465.20 and 4,572,007.20

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Solution

The fourth proportional to 4,697,978.40, 7,057,465.20 and 4,572,007.20 is: 6,868,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697,978.40 : 7,057,465.20 = 4,572,007.20 : x
  2. Step 2: Convert to fraction form
    4,697,978.40/7,057,465.20 = 4,572,007.20/x
  3. Step 3: Cross multiply
    4,697,978.40x = 7,057,465.20 × 4,572,007.20
  4. Step 4: Simplify right side
    4,697,978.40x = 32,266,781,708,149.44
  5. Step 5: Solve for x
    x = 32,266,781,708,149.44/4,697,978.40
  6. Step 6: Final answer
    x = 6,868,226.92

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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.