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Finding the Fourth Proportional to 514,834.63, 710,435.95 and 285,389.71

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Solution

The fourth proportional to 514,834.63, 710,435.95 and 285,389.71 is: 393,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,834.63 : 710,435.95 = 285,389.71 : x
  2. Step 2: Convert to fraction form
    514,834.63/710,435.95 = 285,389.71/x
  3. Step 3: Cross multiply
    514,834.63x = 710,435.95 × 285,389.71
  4. Step 4: Simplify right side
    514,834.63x = 202,751,109,744.08
  5. Step 5: Solve for x
    x = 202,751,109,744.08/514,834.63
  6. Step 6: Final answer
    x = 393,817.93

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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.