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Finding the Fourth Proportional to 535,272.90, 802,655.10 and 310,702.62

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Solution

The fourth proportional to 535,272.90, 802,655.10 and 310,702.62 is: 465,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,272.90 : 802,655.10 = 310,702.62 : x
  2. Step 2: Convert to fraction form
    535,272.90/802,655.10 = 310,702.62/x
  3. Step 3: Cross multiply
    535,272.90x = 802,655.10 × 310,702.62
  4. Step 4: Simplify right side
    535,272.90x = 249,387,042,526.36
  5. Step 5: Solve for x
    x = 249,387,042,526.36/535,272.90
  6. Step 6: Final answer
    x = 465,906.35

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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.