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Finding the Fourth Proportional to 556,652,590.68, 768,159,529.92 and 309,149,888.16

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Solution

The fourth proportional to 556,652,590.68, 768,159,529.92 and 309,149,888.16 is: 426,615,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,652,590.68 : 768,159,529.92 = 309,149,888.16 : x
  2. Step 2: Convert to fraction form
    556,652,590.68/768,159,529.92 = 309,149,888.16/x
  3. Step 3: Cross multiply
    556,652,590.68x = 768,159,529.92 × 309,149,888.16
  4. Step 4: Simplify right side
    556,652,590.68x = 237,476,432,763,806,176
  5. Step 5: Solve for x
    x = 237,476,432,763,806,176/556,652,590.68
  6. Step 6: Final answer
    x = 426,615,157.71

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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.