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Finding the Fourth Proportional to 384,681, 530,850 and 214,916.40

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Solution

The fourth proportional to 384,681, 530,850 and 214,916.40 is: 296,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,681 : 530,850 = 214,916.40 : x
  2. Step 2: Convert to fraction form
    384,681/530,850 = 214,916.40/x
  3. Step 3: Cross multiply
    384,681x = 530,850 × 214,916.40
  4. Step 4: Simplify right side
    384,681x = 114,088,370,940
  5. Step 5: Solve for x
    x = 114,088,370,940/384,681
  6. Step 6: Final answer
    x = 296,579.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.