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Finding the Fourth Proportional to 565,558.91, 780,486.20 and 310,916.51

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Solution

The fourth proportional to 565,558.91, 780,486.20 and 310,916.51 is: 429,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,558.91 : 780,486.20 = 310,916.51 : x
  2. Step 2: Convert to fraction form
    565,558.91/780,486.20 = 310,916.51/x
  3. Step 3: Cross multiply
    565,558.91x = 780,486.20 × 310,916.51
  4. Step 4: Simplify right side
    565,558.91x = 242,666,045,407.16
  5. Step 5: Solve for x
    x = 242,666,045,407.16/565,558.91
  6. Step 6: Final answer
    x = 429,072.98

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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.