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Finding the Fourth Proportional to 389,381.84, 584,108.40 and 108,898.32

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Solution

The fourth proportional to 389,381.84, 584,108.40 and 108,898.32 is: 163,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,381.84 : 584,108.40 = 108,898.32 : x
  2. Step 2: Convert to fraction form
    389,381.84/584,108.40 = 108,898.32/x
  3. Step 3: Cross multiply
    389,381.84x = 584,108.40 × 108,898.32
  4. Step 4: Simplify right side
    389,381.84x = 63,608,423,457.89
  5. Step 5: Solve for x
    x = 63,608,423,457.89/389,381.84
  6. Step 6: Final answer
    x = 163,357.45

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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.