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Finding the Fourth Proportional to 570,291,271.65, 788,441,232.69 and 421,377,523.11

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Solution

The fourth proportional to 570,291,271.65, 788,441,232.69 and 421,377,523.11 is: 582,564,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,291,271.65 : 788,441,232.69 = 421,377,523.11 : x
  2. Step 2: Convert to fraction form
    570,291,271.65/788,441,232.69 = 421,377,523.11/x
  3. Step 3: Cross multiply
    570,291,271.65x = 788,441,232.69 × 421,377,523.11
  4. Step 4: Simplify right side
    570,291,271.65x = 332,231,413,748,707,392
  5. Step 5: Solve for x
    x = 332,231,413,748,707,392/570,291,271.65
  6. Step 6: Final answer
    x = 582,564,437.27

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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.