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Finding the Fourth Proportional to 559,537.83, 838,709.07 and 319,134.08

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Solution

The fourth proportional to 559,537.83, 838,709.07 and 319,134.08 is: 478,360.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,537.83 : 838,709.07 = 319,134.08 : x
  2. Step 2: Convert to fraction form
    559,537.83/838,709.07 = 319,134.08/x
  3. Step 3: Cross multiply
    559,537.83x = 838,709.07 × 319,134.08
  4. Step 4: Simplify right side
    559,537.83x = 267,660,643,248.56
  5. Step 5: Solve for x
    x = 267,660,643,248.56/559,537.83
  6. Step 6: Final answer
    x = 478,360.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.