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Finding the Fourth Proportional to 310,428.95, 467,717.75 and 280,477.98

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Solution

The fourth proportional to 310,428.95, 467,717.75 and 280,477.98 is: 422,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,428.95 : 467,717.75 = 280,477.98 : x
  2. Step 2: Convert to fraction form
    310,428.95/467,717.75 = 280,477.98/x
  3. Step 3: Cross multiply
    310,428.95x = 467,717.75 × 280,477.98
  4. Step 4: Simplify right side
    310,428.95x = 131,184,528,327.76
  5. Step 5: Solve for x
    x = 131,184,528,327.76/310,428.95
  6. Step 6: Final answer
    x = 422,591.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.