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Finding the Fourth Proportional to 602,178.60, 902,231.10 and 508,866.60

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Solution

The fourth proportional to 602,178.60, 902,231.10 and 508,866.60 is: 762,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,178.60 : 902,231.10 = 508,866.60 : x
  2. Step 2: Convert to fraction form
    602,178.60/902,231.10 = 508,866.60/x
  3. Step 3: Cross multiply
    602,178.60x = 902,231.10 × 508,866.60
  4. Step 4: Simplify right side
    602,178.60x = 459,115,272,271.26
  5. Step 5: Solve for x
    x = 459,115,272,271.26/602,178.60
  6. Step 6: Final answer
    x = 762,423.76

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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.