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Finding the Fourth Proportional to 384,756.48, 530,962.83 and 214,990.74

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Solution

The fourth proportional to 384,756.48, 530,962.83 and 214,990.74 is: 296,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,756.48 : 530,962.83 = 214,990.74 : x
  2. Step 2: Convert to fraction form
    384,756.48/530,962.83 = 214,990.74/x
  3. Step 3: Cross multiply
    384,756.48x = 530,962.83 × 214,990.74
  4. Step 4: Simplify right side
    384,756.48x = 114,152,091,734.19
  5. Step 5: Solve for x
    x = 114,152,091,734.19/384,756.48
  6. Step 6: Final answer
    x = 296,686.60

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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.