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Finding the Fourth Proportional to 556,926.74, 768,559.47 and 302,277.98

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Solution

The fourth proportional to 556,926.74, 768,559.47 and 302,277.98 is: 417,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,926.74 : 768,559.47 = 302,277.98 : x
  2. Step 2: Convert to fraction form
    556,926.74/768,559.47 = 302,277.98/x
  3. Step 3: Cross multiply
    556,926.74x = 768,559.47 × 302,277.98
  4. Step 4: Simplify right side
    556,926.74x = 232,318,604,101.47
  5. Step 5: Solve for x
    x = 232,318,604,101.47/556,926.74
  6. Step 6: Final answer
    x = 417,143.92

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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.