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Finding the Fourth Proportional to 310,916.31, 466,374.47 and 86,276.82

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Solution

The fourth proportional to 310,916.31, 466,374.47 and 86,276.82 is: 129,415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,916.31 : 466,374.47 = 86,276.82 : x
  2. Step 2: Convert to fraction form
    310,916.31/466,374.47 = 86,276.82/x
  3. Step 3: Cross multiply
    310,916.31x = 466,374.47 × 86,276.82
  4. Step 4: Simplify right side
    310,916.31x = 40,237,306,200.79
  5. Step 5: Solve for x
    x = 40,237,306,200.79/310,916.31
  6. Step 6: Final answer
    x = 129,415.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.