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Finding the Fourth Proportional to 921,665, 1,271,897.70 and 497,729

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Solution

The fourth proportional to 921,665, 1,271,897.70 and 497,729 is: 686,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,665 : 1,271,897.70 = 497,729 : x
  2. Step 2: Convert to fraction form
    921,665/1,271,897.70 = 497,729/x
  3. Step 3: Cross multiply
    921,665x = 1,271,897.70 × 497,729
  4. Step 4: Simplify right side
    921,665x = 633,060,370,323.30
  5. Step 5: Solve for x
    x = 633,060,370,323.30/921,665
  6. Step 6: Final answer
    x = 686,866.02

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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.