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Finding the Fourth Proportional to 556,826.89, 768,421.09 and 302,178.08

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Solution

The fourth proportional to 556,826.89, 768,421.09 and 302,178.08 is: 417,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,826.89 : 768,421.09 = 302,178.08 : x
  2. Step 2: Convert to fraction form
    556,826.89/768,421.09 = 302,178.08/x
  3. Step 3: Cross multiply
    556,826.89x = 768,421.09 × 302,178.08
  4. Step 4: Simplify right side
    556,826.89x = 232,200,009,607.71
  5. Step 5: Solve for x
    x = 232,200,009,607.71/556,826.89
  6. Step 6: Final answer
    x = 417,005.74

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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.