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Finding the Fourth Proportional to 827,514, 1,141,970.40 and 469,818

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Solution

The fourth proportional to 827,514, 1,141,970.40 and 469,818 is: 648,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,514 : 1,141,970.40 = 469,818 : x
  2. Step 2: Convert to fraction form
    827,514/1,141,970.40 = 469,818/x
  3. Step 3: Cross multiply
    827,514x = 1,141,970.40 × 469,818
  4. Step 4: Simplify right side
    827,514x = 536,518,249,387.20
  5. Step 5: Solve for x
    x = 536,518,249,387.20/827,514
  6. Step 6: Final answer
    x = 648,349.45

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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.