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Finding the Fourth Proportional to 706,872.12, 975,472.80 and 384,574.86

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Solution

The fourth proportional to 706,872.12, 975,472.80 and 384,574.86 is: 530,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,872.12 : 975,472.80 = 384,574.86 : x
  2. Step 2: Convert to fraction form
    706,872.12/975,472.80 = 384,574.86/x
  3. Step 3: Cross multiply
    706,872.12x = 975,472.80 × 384,574.86
  4. Step 4: Simplify right side
    706,872.12x = 375,142,315,493.81
  5. Step 5: Solve for x
    x = 375,142,315,493.81/706,872.12
  6. Step 6: Final answer
    x = 530,707.47

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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.