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Finding the Fourth Proportional to 565,558.16, 780,485.16 and 310,915.76

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Solution

The fourth proportional to 565,558.16, 780,485.16 and 310,915.76 is: 429,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,558.16 : 780,485.16 = 310,915.76 : x
  2. Step 2: Convert to fraction form
    565,558.16/780,485.16 = 310,915.76/x
  3. Step 3: Cross multiply
    565,558.16x = 780,485.16 × 310,915.76
  4. Step 4: Simplify right side
    565,558.16x = 242,665,136,690.12
  5. Step 5: Solve for x
    x = 242,665,136,690.12/565,558.16
  6. Step 6: Final answer
    x = 429,071.94

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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.