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Finding the Fourth Proportional to 514,671.49, 710,076.53 and 310,644.90

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Solution

The fourth proportional to 514,671.49, 710,076.53 and 310,644.90 is: 428,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,671.49 : 710,076.53 = 310,644.90 : x
  2. Step 2: Convert to fraction form
    514,671.49/710,076.53 = 310,644.90/x
  3. Step 3: Cross multiply
    514,671.49x = 710,076.53 × 310,644.90
  4. Step 4: Simplify right side
    514,671.49x = 220,581,649,686.34
  5. Step 5: Solve for x
    x = 220,581,649,686.34/514,671.49
  6. Step 6: Final answer
    x = 428,587.27

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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.