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Finding the Fourth Proportional to 535,477.24, 738,952.50 and 309,117.88

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Solution

The fourth proportional to 535,477.24, 738,952.50 and 309,117.88 is: 426,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,477.24 : 738,952.50 = 309,117.88 : x
  2. Step 2: Convert to fraction form
    535,477.24/738,952.50 = 309,117.88/x
  3. Step 3: Cross multiply
    535,477.24x = 738,952.50 × 309,117.88
  4. Step 4: Simplify right side
    535,477.24x = 228,423,430,220.70
  5. Step 5: Solve for x
    x = 228,423,430,220.70/535,477.24
  6. Step 6: Final answer
    x = 426,579.16

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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.