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Finding the Fourth Proportional to 497,718, 686,868.12 and 282,867.12

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Solution

The fourth proportional to 497,718, 686,868.12 and 282,867.12 is: 390,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,718 : 686,868.12 = 282,867.12 : x
  2. Step 2: Convert to fraction form
    497,718/686,868.12 = 282,867.12/x
  3. Step 3: Cross multiply
    497,718x = 686,868.12 × 282,867.12
  4. Step 4: Simplify right side
    497,718x = 194,292,406,924.21
  5. Step 5: Solve for x
    x = 194,292,406,924.21/497,718
  6. Step 6: Final answer
    x = 390,366.45

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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.