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Finding the Fourth Proportional to 556,942.19, 768,559.64 and 302,287.91

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Solution

The fourth proportional to 556,942.19, 768,559.64 and 302,287.91 is: 417,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,942.19 : 768,559.64 = 302,287.91 : x
  2. Step 2: Convert to fraction form
    556,942.19/768,559.64 = 302,287.91/x
  3. Step 3: Cross multiply
    556,942.19x = 768,559.64 × 302,287.91
  4. Step 4: Simplify right side
    556,942.19x = 232,326,281,931.72
  5. Step 5: Solve for x
    x = 232,326,281,931.72/556,942.19
  6. Step 6: Final answer
    x = 417,146.14

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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.