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Finding the Fourth Proportional to 565,495.50, 780,123.69 and 501,030.50

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Solution

The fourth proportional to 565,495.50, 780,123.69 and 501,030.50 is: 691,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,495.50 : 780,123.69 = 501,030.50 : x
  2. Step 2: Convert to fraction form
    565,495.50/780,123.69 = 501,030.50/x
  3. Step 3: Cross multiply
    565,495.50x = 780,123.69 × 501,030.50
  4. Step 4: Simplify right side
    565,495.50x = 390,865,762,462.55
  5. Step 5: Solve for x
    x = 390,865,762,462.55/565,495.50
  6. Step 6: Final answer
    x = 691,191.64

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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.