Home / 470,353,176-649,123,741.08-282,188,551.20

Finding the Fourth Proportional to 470,353,176, 649,123,741.08 and 282,188,551.20

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Solution

The fourth proportional to 470,353,176, 649,123,741.08 and 282,188,551.20 is: 389,442,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,353,176 : 649,123,741.08 = 282,188,551.20 : x
  2. Step 2: Convert to fraction form
    470,353,176/649,123,741.08 = 282,188,551.20/x
  3. Step 3: Cross multiply
    470,353,176x = 649,123,741.08 × 282,188,551.20
  4. Step 4: Simplify right side
    470,353,176x = 183,175,288,044,889,120
  5. Step 5: Solve for x
    x = 183,175,288,044,889,120/470,353,176
  6. Step 6: Final answer
    x = 389,442,013.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.