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Finding the Fourth Proportional to 514,671.56, 710,248.42 and 285,232.60

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Solution

The fourth proportional to 514,671.56, 710,248.42 and 285,232.60 is: 393,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,671.56 : 710,248.42 = 285,232.60 : x
  2. Step 2: Convert to fraction form
    514,671.56/710,248.42 = 285,232.60/x
  3. Step 3: Cross multiply
    514,671.56x = 710,248.42 × 285,232.60
  4. Step 4: Simplify right side
    514,671.56x = 202,586,003,482.49
  5. Step 5: Solve for x
    x = 202,586,003,482.49/514,671.56
  6. Step 6: Final answer
    x = 393,621.91

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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.