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Finding the Fourth Proportional to 921,793, 1,272,075.06 and 497,857

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Solution

The fourth proportional to 921,793, 1,272,075.06 and 497,857 is: 687,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,793 : 1,272,075.06 = 497,857 : x
  2. Step 2: Convert to fraction form
    921,793/1,272,075.06 = 497,857/x
  3. Step 3: Cross multiply
    921,793x = 1,272,075.06 × 497,857
  4. Step 4: Simplify right side
    921,793x = 633,311,473,146.42
  5. Step 5: Solve for x
    x = 633,311,473,146.42/921,793
  6. Step 6: Final answer
    x = 687,043.05

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1.5x scale

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.