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Finding the Fourth Proportional to 515,108.57, 710,997.95 and 311,127.08

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Solution

The fourth proportional to 515,108.57, 710,997.95 and 311,127.08 is: 429,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,108.57 : 710,997.95 = 311,127.08 : x
  2. Step 2: Convert to fraction form
    515,108.57/710,997.95 = 311,127.08/x
  3. Step 3: Cross multiply
    515,108.57x = 710,997.95 × 311,127.08
  4. Step 4: Simplify right side
    515,108.57x = 221,210,713,292.31
  5. Step 5: Solve for x
    x = 221,210,713,292.31/515,108.57
  6. Step 6: Final answer
    x = 429,444.84

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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.