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Finding the Fourth Proportional to 514,578.93, 710,108.32 and 285,134.23

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Solution

The fourth proportional to 514,578.93, 710,108.32 and 285,134.23 is: 393,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,578.93 : 710,108.32 = 285,134.23 : x
  2. Step 2: Convert to fraction form
    514,578.93/710,108.32 = 285,134.23/x
  3. Step 3: Cross multiply
    514,578.93x = 710,108.32 × 285,134.23
  4. Step 4: Simplify right side
    514,578.93x = 202,476,185,754.86
  5. Step 5: Solve for x
    x = 202,476,185,754.86/514,578.93
  6. Step 6: Final answer
    x = 393,479.36

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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.