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Finding the Fourth Proportional to 310,277.72, 465,443.35 and 85,638.16

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Solution

The fourth proportional to 310,277.72, 465,443.35 and 85,638.16 is: 128,464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,277.72 : 465,443.35 = 85,638.16 : x
  2. Step 2: Convert to fraction form
    310,277.72/465,443.35 = 85,638.16/x
  3. Step 3: Cross multiply
    310,277.72x = 465,443.35 × 85,638.16
  4. Step 4: Simplify right side
    310,277.72x = 39,859,710,700.53
  5. Step 5: Solve for x
    x = 39,859,710,700.53/310,277.72
  6. Step 6: Final answer
    x = 128,464.62

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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.