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Finding the Fourth Proportional to 310,590, 465,895.37 and 85,931.64

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Solution

The fourth proportional to 310,590, 465,895.37 and 85,931.64 is: 128,900.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,590 : 465,895.37 = 85,931.64 : x
  2. Step 2: Convert to fraction form
    310,590/465,895.37 = 85,931.64/x
  3. Step 3: Cross multiply
    310,590x = 465,895.37 × 85,931.64
  4. Step 4: Simplify right side
    310,590x = 40,035,152,782.85
  5. Step 5: Solve for x
    x = 40,035,152,782.85/310,590
  6. Step 6: Final answer
    x = 128,900.33

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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.