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Finding the Fourth Proportional to 514,578.95, 710,108.34 and 285,134.23

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Solution

The fourth proportional to 514,578.95, 710,108.34 and 285,134.23 is: 393,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,578.95 : 710,108.34 = 285,134.23 : x
  2. Step 2: Convert to fraction form
    514,578.95/710,108.34 = 285,134.23/x
  3. Step 3: Cross multiply
    514,578.95x = 710,108.34 × 285,134.23
  4. Step 4: Simplify right side
    514,578.95x = 202,476,192,972.32
  5. Step 5: Solve for x
    x = 202,476,192,972.32/514,578.95
  6. Step 6: Final answer
    x = 393,479.35

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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.