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Finding the Fourth Proportional to 310,950.91, 466,459.70 and 86,312.30

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Solution

The fourth proportional to 310,950.91, 466,459.70 and 86,312.30 is: 129,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,950.91 : 466,459.70 = 86,312.30 : x
  2. Step 2: Convert to fraction form
    310,950.91/466,459.70 = 86,312.30/x
  3. Step 3: Cross multiply
    310,950.91x = 466,459.70 × 86,312.30
  4. Step 4: Simplify right side
    310,950.91x = 40,261,206,800.45
  5. Step 5: Solve for x
    x = 40,261,206,800.45/310,950.91
  6. Step 6: Final answer
    x = 129,477.70

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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.