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Finding the Fourth Proportional to 648,096.72, 894,305.64 and 357,702.93

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Solution

The fourth proportional to 648,096.72, 894,305.64 and 357,702.93 is: 493,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,096.72 : 894,305.64 = 357,702.93 : x
  2. Step 2: Convert to fraction form
    648,096.72/894,305.64 = 357,702.93/x
  3. Step 3: Cross multiply
    648,096.72x = 894,305.64 × 357,702.93
  4. Step 4: Simplify right side
    648,096.72x = 319,895,747,743.53
  5. Step 5: Solve for x
    x = 319,895,747,743.53/648,096.72
  6. Step 6: Final answer
    x = 493,592.60

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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.