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Finding the Fourth Proportional to 420,736,820.80, 630,806,632.80 and 190,816,052.80

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Solution

The fourth proportional to 420,736,820.80, 630,806,632.80 and 190,816,052.80 is: 286,088,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,736,820.80 : 630,806,632.80 = 190,816,052.80 : x
  2. Step 2: Convert to fraction form
    420,736,820.80/630,806,632.80 = 190,816,052.80/x
  3. Step 3: Cross multiply
    420,736,820.80x = 630,806,632.80 × 190,816,052.80
  4. Step 4: Simplify right side
    420,736,820.80x = 120,368,031,750,955,008
  5. Step 5: Solve for x
    x = 120,368,031,750,955,008/420,736,820.80
  6. Step 6: Final answer
    x = 286,088,656.38

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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.