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Finding the Fourth Proportional to 470,717.30, 706,075.95 and 328,999.70

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Solution

The fourth proportional to 470,717.30, 706,075.95 and 328,999.70 is: 493,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,717.30 : 706,075.95 = 328,999.70 : x
  2. Step 2: Convert to fraction form
    470,717.30/706,075.95 = 328,999.70/x
  3. Step 3: Cross multiply
    470,717.30x = 706,075.95 × 328,999.70
  4. Step 4: Simplify right side
    470,717.30x = 232,298,775,727.22
  5. Step 5: Solve for x
    x = 232,298,775,727.22/470,717.30
  6. Step 6: Final answer
    x = 493,499.55

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Similar ratio
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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.