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Finding the Fourth Proportional to 514,582, 710,112.55 and 285,137.29

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Solution

The fourth proportional to 514,582, 710,112.55 and 285,137.29 is: 393,483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,582 : 710,112.55 = 285,137.29 : x
  2. Step 2: Convert to fraction form
    514,582/710,112.55 = 285,137.29/x
  3. Step 3: Cross multiply
    514,582x = 710,112.55 × 285,137.29
  4. Step 4: Simplify right side
    514,582x = 202,479,568,101.99
  5. Step 5: Solve for x
    x = 202,479,568,101.99/514,582
  6. Step 6: Final answer
    x = 393,483.58

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1.5x scale

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.