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Finding the Fourth Proportional to 456,868, 630,390.36 and 295,700.68

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Solution

The fourth proportional to 456,868, 630,390.36 and 295,700.68 is: 408,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,868 : 630,390.36 = 295,700.68 : x
  2. Step 2: Convert to fraction form
    456,868/630,390.36 = 295,700.68/x
  3. Step 3: Cross multiply
    456,868x = 630,390.36 × 295,700.68
  4. Step 4: Simplify right side
    456,868x = 186,406,858,117.45
  5. Step 5: Solve for x
    x = 186,406,858,117.45/456,868
  6. Step 6: Final answer
    x = 408,010.32

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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.