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Finding the Fourth Proportional to 514,820.08, 710,422.68 and 299,995.12

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Solution

The fourth proportional to 514,820.08, 710,422.68 and 299,995.12 is: 413,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,820.08 : 710,422.68 = 299,995.12 : x
  2. Step 2: Convert to fraction form
    514,820.08/710,422.68 = 299,995.12/x
  3. Step 3: Cross multiply
    514,820.08x = 710,422.68 × 299,995.12
  4. Step 4: Simplify right side
    514,820.08x = 213,123,337,137.32
  5. Step 5: Solve for x
    x = 213,123,337,137.32/514,820.08
  6. Step 6: Final answer
    x = 413,976.35

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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.