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Finding the Fourth Proportional to 707,143.92, 975,840 and 384,847.20

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Solution

The fourth proportional to 707,143.92, 975,840 and 384,847.20 is: 531,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,143.92 : 975,840 = 384,847.20 : x
  2. Step 2: Convert to fraction form
    707,143.92/975,840 = 384,847.20/x
  3. Step 3: Cross multiply
    707,143.92x = 975,840 × 384,847.20
  4. Step 4: Simplify right side
    707,143.92x = 375,549,291,648
  5. Step 5: Solve for x
    x = 375,549,291,648/707,143.92
  6. Step 6: Final answer
    x = 531,079.01

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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.